document.write( "Question 13577: x + y = -6
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document.write( "11x - y = 42\r
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document.write( "Many solutions or no solutions? \n" );
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Algebra.Com's Answer #6833 by ntnk(54)![]() ![]() ![]() You can put this solution on YOUR website! To solve a system of equations, you can either graph, substitute, or use elimination. The easiest method for this problem will be elimination: \n" ); document.write( "Add the two equations together to eliminate y:\r \n" ); document.write( "\n" ); document.write( " x + y = -6 \n" ); document.write( "11x - y = 42 \n" ); document.write( "------------ \n" ); document.write( "12x + 0 = 36\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Now solve like a one step equation. Divide both sides by 12. \n" ); document.write( " \n" ); document.write( "Reduce. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in this value of x to one of the equations: \n" ); document.write( " \n" ); document.write( "Subtract 3 from each side. \n" ); document.write( " \n" ); document.write( "Reduce. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3 \n" ); document.write( "y = -9\r \n" ); document.write( "\n" ); document.write( "Remember to check: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
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