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)![]() ![]() You can put this solution on YOUR website! 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 = \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( " |