document.write( "Question 102506: Solve the system by graphing.
\n" ); document.write( " x + 2y = 4
\n" ); document.write( " x + 2y = –2\r
\n" ); document.write( "\n" ); document.write( "Please help with this graphing problem.
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Algebra.Com's Answer #74542 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: Solve the System of Equations by Graphing

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\n" ); document.write( " Start with the given system of equations:
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\n" ); document.write( " \"1x%2B2y=4\"
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\n" ); document.write( " \"1x%2B2y=-2\"
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\n" ); document.write( " In order to graph these equations, we need to solve for y for each equation.
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\n" ); document.write( " So let's solve for y on the first equation
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\n" ); document.write( " \"1x%2B2y=4\" Start with the given equation
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\n" ); document.write( " \"2y=4-x\" Subtract \"+x\" from both sides
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\n" ); document.write( " \"2y=-x%2B4\" Rearrange the equation
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\n" ); document.write( " \"y=%28-x%2B4%29%2F%282%29\" Divide both sides by \"2\"
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\n" ); document.write( " \"y=%28-1%2F2%29x%2B%284%29%2F%282%29\" Break up the fraction
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\n" ); document.write( " \"y=%28-1%2F2%29x%2B2\" Reduce
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\n" ); document.write( " Now lets graph \"y=%28-1%2F2%29x%2B2\" (note: if you need help with graphing, check out this solver)
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\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F2%29x%2B2%29+\" Graph of \"y=%28-1%2F2%29x%2B2\"
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\n" ); document.write( " So let's solve for y on the second equation
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\n" ); document.write( " \"1x%2B2y=-2\" Start with the given equation
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\n" ); document.write( " \"2y=-2-x\" Subtract \"+x\" from both sides
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\n" ); document.write( " \"2y=-x-2\" Rearrange the equation
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\n" ); document.write( " \"y=%28-x-2%29%2F%282%29\" Divide both sides by \"2\"
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\n" ); document.write( " \"y=%28-1%2F2%29x%2B%28-2%29%2F%282%29\" Break up the fraction
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\n" ); document.write( " \"y=%28-1%2F2%29x-1\" Reduce
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\n" ); document.write( " Now lets add the graph of \"y=%28-1%2F2%29x-1\" to our first plot to get:
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\n" ); document.write( " \"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28-1%2F2%29x%2B2%2C%28-1%2F2%29x-1%29+\" Graph of \"y=%28-1%2F2%29x%2B2\"(red) and \"y=%28-1%2F2%29x-1\"(green)
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\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.
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