document.write( "Question 930051: What is the steps for this linear Systems of Equation below.\r
\n" ); document.write( "\n" ); document.write( "Solve each system by substitution.\r
\n" ); document.write( "\n" ); document.write( "1. 5x-y= 1
\n" ); document.write( " -5x+y=-3\r
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\n" ); document.write( "\n" ); document.write( "2. x+2y=-3
\n" ); document.write( " -3x+4y=-21\r
\n" ); document.write( "\n" ); document.write( "3. 2x+y=22
\n" ); document.write( " -8x+7y=0\r
\n" ); document.write( "\n" ); document.write( "4. -8x+4y=-20
\n" ); document.write( " x+y=10
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #564695 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"5x-y=+1\"$ ....eq.1
\n" ); document.write( " $\"-5x%2By=-3\"$ ....eq.2
\n" ); document.write( "________________\r
\n" ); document.write( "\n" ); document.write( " $\"5x-y=+1\"$ ....eq.1 solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5x-1=+y\"$ ........substitute in eq.2 \r
\n" ); document.write( "\n" ); document.write( " $\"-5x%2B5x-1=-3\"$ ....eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"-cross%285x%29%2Bcross%285x%29-1=-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-1=-3\"$ => sins $\"-1=-3\"$ is not true, there are no solutions and the system is inconsistent and lines are parallel\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+5x-1%2C5x-3%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "2. $\"x%2B2y=-3\"$ ........eq.1
\n" ); document.write( " $\"-3x%2B4y=-21\"$ .......eq.2
\n" ); document.write( "___________________\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B2y=-3\"$ ........eq.1 solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-2y-3\"$ ......substitute in eq.2 \r
\n" ); document.write( "\n" ); document.write( " $\"-3%28-2y-3%29%2B4y=-21\"$ .......eq.2 and solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6y%2B9%2B4y=-21\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"10y=-21-9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"10y=-30\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=-30%2F10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=-3\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"x=-2y-3\"$ substitute $\"-3\"$ for $\"y\"$ and solve for $\"x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x=-2%28-3%29-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-2%28-3%29-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=6-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( "intersection point is: ( $\"3\"$ , $\"-3\"$ )\r
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\n" ); document.write( "\n" ); document.write( "

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\n" ); document.write( "\n" ); document.write( "3. $\"2x%2By=22\"$ ....eq.1
\n" ); document.write( " $\"-8x%2B7y=0\"$ ....eq.2
\n" ); document.write( "___________________\r
\n" ); document.write( "\n" ); document.write( " $\"2x%2By=22\"$ ....eq.1 solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=22-2x\"$ ...............substitute in eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"-8x%2B7%2822-2x%29=0\"$ ....eq.2....... solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-8x%2B154-14x=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"154-22x=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"154=22x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"154%2F22=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=7\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"y=22-2x\"$ substitute $\"7\"$ for $\"x\"$ and solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=22-2%2A7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=22-14\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=8\"$ \r
\n" ); document.write( "\n" ); document.write( "intersection point is: ( $\"7\"$ , $\"8\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+22-2x%2C%288%2F7%29x%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "4. $\"-8x%2B4y=-20\"$ ..........eq.1
\n" ); document.write( " $\"x%2By=10\"$ .............eq.2
\n" ); document.write( "__________________________________\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=10\"$ ......eq.2 solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=10-x\"$ ....substitute in eq.1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-8x%2B4%2810-x%29=-20\"$ ..........eq.1...solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-8x%2B40-4x=-20\"$
\n" ); document.write( " $\"-12x%2B40=-20\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"20%2B40=12x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"60=12x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"60%2F12=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=5\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"y=10-x\"$ plug in value for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=10-5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=5\"$ \r
\n" ); document.write( "\n" ); document.write( "intersection point is: ( $\"5\"$ , $\"5\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+15%2C+-10%2C+15%2C+10-x%2C2x-5%29+\"$ \r
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