document.write( "Question 21807: Solve the system by the substitution method.
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document.write( "x + 5y = 5
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document.write( "3x - 8y = -8 \n" );
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Algebra.Com's Answer #11710 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! First, solve for one of the variables in one of the equations. The easiest is to solve for x in the first equation:\r \n" ); document.write( "\n" ); document.write( "x= 5-5y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute this back into the second equation in place of the x: \n" ); document.write( "3x - 8y = -8 \n" ); document.write( "3(____) - 8y = -8 \n" ); document.write( "3(5-5y) - 8y = -8 \n" ); document.write( "15 - 15y - 8y = -8 \n" ); document.write( "15-23y = -8 \n" ); document.write( "15-15 -23y = -8-15 \n" ); document.write( "-23y = -23 \n" ); document.write( "y=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute y = 1 back into the EASIEST equation to find x, which would be the x= 5-5y equation \n" ); document.write( "x=5-5y \n" ); document.write( "x=5 -5*1 \n" ); document.write( "x=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check in the OTHER equation (not the one you just used to find x!): \n" ); document.write( "3x-8y=-8 \n" ); document.write( "3(0)-8(1)=-8 \n" ); document.write( "-8=-8 It checks!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |