document.write( "Question 207663This question is from textbook
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\n" ); document.write( "\n" ); document.write( "Solve the equations using the substitution method.\r
\n" ); document.write( "\n" ); document.write( "5x+6y=14, -3y+x=7 \n" ); document.write( "

Algebra.Com's Answer #157063 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-3y%2Bx=7\"$ Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=3y%2B7\"$ Add 3y to both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"5x%2B6y=14\"$ Move onto the second equation\r
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\n" ); document.write( "\n" ); document.write( " $\"5%283y%2B7%29%2B6y=14\"$ Plug in $\"x=3y%2B7\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"15y%2B35%2B6y=14\"$ Distribute.\r
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\n" ); document.write( "\n" ); document.write( " $\"21y%2B35=14\"$ Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( " $\"21y=14-35\"$ Subtract $\"35\"$ from both sides.\r
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\n" ); document.write( "\n" ); document.write( " $\"21y=-21\"$ Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( " $\"y=%28-21%29%2F%2821%29\"$ Divide both sides by $\"21\"$ to isolate $\"y\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"y=-1\"$ Reduce.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=3y%2B7\"$ Go back to the first isolated equation.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=3%28-1%29%2B7\"$ Plug in $\"y=-1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=-3%2B7\"$ Multiply.\r
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\n" ); document.write( "\n" ); document.write( " $\"x=4\"$ Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are $\"x=4\"$ and $\"y=-1\"$ which form the ordered pair (4,-1)\r
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\n" ); document.write( "\n" ); document.write( "This means that the system is consistent and independent.
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