document.write( "Question 31228: could someone please help me with this equation????\r
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document.write( "use elimination to solve:
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document.write( "6x-y/4=-9
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document.write( "and 3x+2y=-30 \n" );
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Algebra.Com's Answer #17896 by joey_quizan(15)![]() ![]() ![]() You can put this solution on YOUR website! given:\r \n" ); document.write( "\n" ); document.write( "First equation : 6x -y/4 = -9 \n" ); document.write( "Second Equation: 3x + 2y = -30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution:\r \n" ); document.write( "\n" ); document.write( "Step 1: multiply first equation by 8 to eliminate y\r \n" ); document.write( "\n" ); document.write( " 8[6x - y/4 = -9] \n" ); document.write( " \n" ); document.write( " 48x - 2y = -72 --- eq 3 \n" ); document.write( "Step 2: Add eq 3 and second equation\r \n" ); document.write( "\n" ); document.write( " 48x - 2y = -72 --- eq 3 \n" ); document.write( " + 3x + 2y = -30 --- second equation \n" ); document.write( " ------------------- \n" ); document.write( " 51x + 0 = -102 \n" ); document.write( " \n" ); document.write( " 51x = -102 \n" ); document.write( " --- ---- \n" ); document.write( " 51 51\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " x = -2\r \n" ); document.write( "\n" ); document.write( "Step 3: substitute the value of x to second equation to find the value of y \n" ); document.write( " \n" ); document.write( " 3x + 2y = -30 --- second equation \n" ); document.write( " 3(-2) + 2y = -30 \n" ); document.write( " -6 + 2y = -30 --- transpose -6 to the other side of the equation \n" ); document.write( " 2y = -30 + 6 \n" ); document.write( " 2y = -24 \n" ); document.write( " -- --- \n" ); document.write( " 2 2 \n" ); document.write( " y = -12\r \n" ); document.write( "\n" ); document.write( "Check if the answere is correct substitute the value of x and y to first equation\r \n" ); document.write( "\n" ); document.write( " 6x - y/4 = -9 --- first equation \n" ); document.write( " 6(-2) - (-12/4) = -9 \n" ); document.write( " -12 + 3 = -9 \n" ); document.write( " -9 = -9 --- therefore the answere is corre \n" ); document.write( "Answere: \n" ); document.write( " \n" ); document.write( " x = -2 ; y = -12 \n" ); document.write( " |