document.write( "Question 457157: Can someone help me solve this solution system using the substitution elimination method?\r
\n" ); document.write( "\n" ); document.write( "4x+2y= -14
\n" ); document.write( "-7x+y = 56 \n" ); document.write( "

Algebra.Com's Answer #313693 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using elimination
\n" ); document.write( "4x + 2y = -14
\n" ); document.write( "-7x + y = 56
\n" ); document.write( "multiply the 2nd equation by -2
\n" ); document.write( "4x + 2y = -14
\n" ); document.write( "14x - 2y = -112
\n" ); document.write( "-----------------adding eliminates y, find x
\n" ); document.write( "18x = -126
\n" ); document.write( "x = $\"%28-126%29%2F18\"$
\n" ); document.write( "x = -7
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation
\n" ); document.write( "4(-7) + 2y = -14
\n" ); document.write( "-28 + 2y = -14
\n" ); document.write( "2y = -14 + 28
\n" ); document.write( "2y = 14
\n" ); document.write( "y = $\"%2814%29%2F2\"$
\n" ); document.write( "y = +7
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check solution in the 2nd equation
\n" ); document.write( "-7x + y = 56
\n" ); document.write( "-7(-7) + 7 = 56
\n" ); document.write( "+49 + 7 = 56; confirms our solutions \n" ); document.write( "

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