document.write( "Question 414173: solve by the substitution method\r
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document.write( "6x+4y=-24
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document.write( "-3x+y=21\r
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document.write( "the solution is? \n" );
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Algebra.Com's Answer #290521 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! solve by the substitution method\r \n" ); document.write( "\n" ); document.write( "6x + 4y = -24 \n" ); document.write( "-3x + y = 21------> y = 3x + 21 {added 3x to both sides}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x + 4y = -24 {top equation} \n" ); document.write( "6x + 4(3x + 21) = -24 {substituted 3x + 21, in for y, into top equation} \n" ); document.write( "6x + 12x + 84 = -24 {used distributive property} \n" ); document.write( "18x + 84 = -24 {combined like terms} \n" ); document.write( "18x = -108 {subtracted 84 from both sides} \n" ); document.write( "x = -6 {divided both sides by 18}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 3x + 21 \n" ); document.write( "y = 3(-6) + 21 {substituted -6, in for x, into y = 3x + 21} \n" ); document.write( "y = -18 + 21 multiplied 3 by -6} \n" ); document.write( "y = 3 {combined like terms}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -6 and y = 3 \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " \n" ); document.write( " |