document.write( "Question 455274: This needs to be solved by the elimination method.
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document.write( "5x + 2y= -3
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document.write( "4x - 2y= -6\r
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document.write( "The answer must be simplified and an ordered pair. \n" );
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Algebra.Com's Answer #312573 by mathmartian(7)![]() ![]() ![]() You can put this solution on YOUR website! To use the elimination method, we either subtract or add the two equations to eliminate a variable. A variable is eliminated if it has a coefficient of 0. \n" ); document.write( "For this problem, we can add the two equations to eliminate y, since 2+(-2)=0 \n" ); document.write( " (5x+2y=-3) \n" ); document.write( "+(4x-2y=-6) \n" ); document.write( "9x+0y=-9 \n" ); document.write( "9x=-9 \n" ); document.write( "x=-1 Divide both sides by 9 to isolate the x. \n" ); document.write( "To solve for y, substitute x into any of the original equations and solve for y. \n" ); document.write( "5(-1)+2y=-3 \n" ); document.write( "-5+2y=-3 \n" ); document.write( "2y=2 Add 5 to both sides \n" ); document.write( "y=1 Divide both sides by 2\r \n" ); document.write( "\n" ); document.write( "Thus your answer is (-1,1) \n" ); document.write( " \n" ); document.write( " |