document.write( "Question 320253: using the substitution method.. what is the solution of the system?
\n" ); document.write( "8x+7y=31
\n" ); document.write( "-2x+y=17
\n" ); document.write( "

Algebra.Com's Answer #229395 by ankor@dixie-net.com(22740)\"\" \"About 
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using the substitution method.. what is the solution of the system?
\n" ); document.write( "8x + 7y = 31
\n" ); document.write( "-2x + y = 17
\n" ); document.write( ":
\n" ); document.write( "The 2nd equation is a good one to use for substitution
\n" ); document.write( "-2x + y = 17
\n" ); document.write( "add 2x to both sides
\n" ); document.write( "y = 2x + 17
\n" ); document.write( ":
\n" ); document.write( "In the first equation substitute (2x+17) for y, find x
\n" ); document.write( "8x + 7(2x+17) = 31
\n" ); document.write( "8x + 14x + 119 = 31
\n" ); document.write( "22x = 31 - 119
\n" ); document.write( "22x = -88
\n" ); document.write( "x = \"-88%2F22\"
\n" ); document.write( "x = -4
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "y = 2x + 17
\n" ); document.write( "y = 2(-4) + 17
\n" ); document.write( "y = -8 + 17
\n" ); document.write( "y = 9
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the original 1st equation
\n" ); document.write( "8x + 7y = 31
\n" ); document.write( "8(-4) + 7(9) = 31
\n" ); document.write( "-32 + 63 = 31
\n" ); document.write( "
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