document.write( "Question 1137135: What is the equations by graphing on these questions:
\n" ); document.write( "1. y=-2x+1y=x-5
\n" ); document.write( "2. y+1/2x-3y=3/2x-1
\n" ); document.write( "3. y=2xx+y=3
\n" ); document.write( "4. x+y=o3x+y=-4
\n" ); document.write( "5. x=3-3yx+3y=-6
\n" ); document.write( "6. x+2y=-44y=3x+12
\n" ); document.write( "7. y=-2 2x-5=20
\n" ); document.write( "9. 4x+3y=-15y=x+2
\n" ); document.write( "If you can help be with the answers today asap it would greatly appreciated\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #754960 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1.
\n" ); document.write( "\"y=-2x%2B1\"
\n" ); document.write( "\"y=x-5\"
\n" ); document.write( "---------------------------rewrite in standard form
\n" ); document.write( "\"2x%2By=1\"
\n" ); document.write( "\"-x%2By=-5\"\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Solve the System of Equations by Graphing

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Start with the given system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"2x%2By=1\"
\n" ); document.write( "
\n" ); document.write( " \"-x%2By=-5\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the first equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"2x%2By=1\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=1-2x\" Subtract \"2+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=-2x%2B1\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-2x%2B1%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-2%2F1%29x%2B%281%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=-2x%2B1\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets graph \"y=-2x%2B1\" (note: if you need help with graphing, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B1%29+\" Graph of \"y=-2x%2B1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the second equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"-x%2By=-5\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=-5%2Bx\" Add \"+x\" to both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=%2Bx-5\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2Bx-5%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2B1%2F1%29x%2B%28-5%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=x-5\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets add the graph of \"y=x-5\" to our first plot to get:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B1%2Cx-5%29+\" Graph of \"y=-2x%2B1\"(red) and \"y=x-5\"(green)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " From the graph, we can see that the two lines intersect at the point (\"2\",\"-3\") (note: you might have to adjust the window to see the intersection)

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( " y+1/2x-3y=3/2x-1???????\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3.
\n" ); document.write( "\"y=2x\"
\n" ); document.write( "\"x%2By=3\"
\n" ); document.write( "-----------
\n" ); document.write( "\"-2x%2By=0\"
\n" ); document.write( "\"x%2By=3\"\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Solve the System of Equations by Graphing

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Start with the given system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"-2x%2By=0\"
\n" ); document.write( "
\n" ); document.write( " \"1x%2By=3\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the first equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"-2x%2By=0\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=0%2B2x\" Add \"2+x\" to both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=%2B2x%2B0\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2B2x%2B0%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2B2%2F1%29x%2B%280%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=2x%2B0\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets graph \"y=2x%2B0\" (note: if you need help with graphing, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B0%29+\" Graph of \"y=2x%2B0\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the second equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2By=3\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=3-x\" Subtract \"+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=-x%2B3\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-x%2B3%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F1%29x%2B%283%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=-x%2B3\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets add the graph of \"y=-x%2B3\" to our first plot to get:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2x%2B0%2C-x%2B3%29+\" Graph of \"y=2x%2B0\"(red) and \"y=-x%2B3\"(green)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " From the graph, we can see that the two lines intersect at the point (\"1\",\"2\") (note: you might have to adjust the window to see the intersection)

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4.
\n" ); document.write( "\"+x%2By=0\"
\n" ); document.write( "\"3x%2By=-4\"
\n" ); document.write( "------------------\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Solve the System of Equations by Graphing

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Start with the given system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2By=0\"
\n" ); document.write( "
\n" ); document.write( " \"3x%2By=-4\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the first equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2By=0\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=0-x\" Subtract \"+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=-x%2B0\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-x%2B0%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F1%29x%2B%280%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=-x%2B0\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets graph \"y=-x%2B0\" (note: if you need help with graphing, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B0%29+\" Graph of \"y=-x%2B0\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the second equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3x%2By=-4\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=-4-3x\" Subtract \"3+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=-3x-4\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-3x-4%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-3%2F1%29x%2B%28-4%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=-3x-4\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets add the graph of \"y=-3x-4\" to our first plot to get:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B0%2C-3x-4%29+\" Graph of \"y=-x%2B0\"(red) and \"y=-3x-4\"(green)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " From the graph, we can see that the two lines intersect at the point (\"-2\",\"2\") (note: you might have to adjust the window to see the intersection)

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5.
\n" ); document.write( "\"x=3-3y\"
\n" ); document.write( "\"x%2B3y=-6\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"x%2B3y=3\"
\n" ); document.write( "\"x%2B3y=-6\"\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Solve the System of Equations by Graphing

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Start with the given system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2B3y=3\"
\n" ); document.write( "
\n" ); document.write( " \"1x%2B3y=-6\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the first equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2B3y=3\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3y=3-x\" Subtract \"+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3y=-x%2B3\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-x%2B3%29%2F%283%29\" Divide both sides by \"3\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F3%29x%2B%283%29%2F%283%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F3%29x%2B1\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets graph \"y=%28-1%2F3%29x%2B1\" (note: if you need help with graphing, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F3%29x%2B1%29+\" Graph of \"y=%28-1%2F3%29x%2B1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the second equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2B3y=-6\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3y=-6-x\" Subtract \"+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3y=-x-6\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-x-6%29%2F%283%29\" Divide both sides by \"3\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F3%29x%2B%28-6%29%2F%283%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F3%29x-2\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets add the graph of \"y=%28-1%2F3%29x-2\" to our first plot to get:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F3%29x%2B1%2C%28-1%2F3%29x-2%29+\" Graph of \"y=%28-1%2F3%29x%2B1\"(red) and \"y=%28-1%2F3%29x-2\"(green)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "6.
\n" ); document.write( "\"x%2B2y=-4\"
\n" ); document.write( "\"4y=3x%2B12\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"x%2B2y=-4\"
\n" ); document.write( "\"-3x%2B4y=12\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Solve the System of Equations by Graphing

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Start with the given system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2B2y=-4\"
\n" ); document.write( "
\n" ); document.write( " \"-3x%2B4y=12\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the first equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1x%2B2y=-4\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"2y=-4-x\" Subtract \"+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"2y=-x-4\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-x-4%29%2F%282%29\" Divide both sides by \"2\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F2%29x%2B%28-4%29%2F%282%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-1%2F2%29x-2\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets graph \"y=%28-1%2F2%29x-2\" (note: if you need help with graphing, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F2%29x-2%29+\" Graph of \"y=%28-1%2F2%29x-2\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the second equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"-3x%2B4y=12\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"4y=12%2B3x\" Add \"3+x\" to both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"4y=%2B3x%2B12\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2B3x%2B12%29%2F%284%29\" Divide both sides by \"4\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2B3%2F4%29x%2B%2812%29%2F%284%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%283%2F4%29x%2B3\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets add the graph of \"y=%283%2F4%29x%2B3\" to our first plot to get:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F2%29x-2%2C%283%2F4%29x%2B3%29+\" Graph of \"y=%28-1%2F2%29x-2\"(red) and \"y=%283%2F4%29x%2B3\"(green)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " From the graph, we can see that the two lines intersect at the point (\"-4\",\"0\") (note: you might have to adjust the window to see the intersection)

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "7. \r
\n" ); document.write( "\n" ); document.write( "\"y=-2+\"
\n" ); document.write( "\"2x-5=20\"
\n" ); document.write( "---------------
\n" ); document.write( "\"y=-2+\"
\n" ); document.write( "\"2x=25\"
\n" ); document.write( "----------------
\n" ); document.write( "\"y=-2+\"->horizontal line
\n" ); document.write( "\"x=12.5\"->vertical line\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "intersection point: (\"12.5\",\"-2\")\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "9.
\n" ); document.write( "\"4x%2B3y=-15\"
\n" ); document.write( "\"y=x%2B2\"
\n" ); document.write( "------------------\r
\n" ); document.write( "\n" ); document.write( "\"4x%2B3y=-15\"
\n" ); document.write( "\"-x%2By=2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Solve the System of Equations by Graphing

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Start with the given system of equations:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"4x%2B3y=-15\"
\n" ); document.write( "
\n" ); document.write( " \"-x%2By=2\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the first equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"4x%2B3y=-15\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3y=-15-4x\" Subtract \"4+x\" from both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"3y=-4x-15\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-4x-15%29%2F%283%29\" Divide both sides by \"3\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-4%2F3%29x%2B%28-15%29%2F%283%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28-4%2F3%29x-5\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets graph \"y=%28-4%2F3%29x-5\" (note: if you need help with graphing, check out this solver)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-4%2F3%29x-5%29+\" Graph of \"y=%28-4%2F3%29x-5\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " So let's solve for y on the second equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"-x%2By=2\" Start with the given equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=2%2Bx\" Add \"+x\" to both sides
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"1y=%2Bx%2B2\" Rearrange the equation
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2Bx%2B2%29%2F%281%29\" Divide both sides by \"1\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=%28%2B1%2F1%29x%2B%282%29%2F%281%29\" Break up the fraction
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"y=x%2B2\" Reduce
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now lets add the graph of \"y=x%2B2\" to our first plot to get:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-4%2F3%29x-5%2Cx%2B2%29+\" Graph of \"y=%28-4%2F3%29x-5\"(red) and \"y=x%2B2\"(green)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " From the graph, we can see that the two lines intersect at the point (\"-3\",\"-1\") (note: you might have to adjust the window to see the intersection)

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );