document.write( "Question 715908: Explain, in complete sentences, how you would use the elimination method to solve the following system of equations. Provide the solution to the system.\r
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document.write( "2x - 5y = -12
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document.write( "3x - 4y = 3 \n" );
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Algebra.Com's Answer #439656 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! use the elimination method to solve the following system of equations. Provide the solution to the system. \n" ); document.write( "2x - 5y = -12 \n" ); document.write( "3x - 4y = 3 \n" ); document.write( "======= \n" ); document.write( "To eliminate the \"x\" terms multiply the top equation by 3 and the \n" ); document.write( "bottom equation by 2: \n" ); document.write( "------ \n" ); document.write( "6x - 15y = -36 \n" ); document.write( "6x - 8y = 6 \n" ); document.write( "-------- \n" ); document.write( "Subtract the top from the bottom and solve for \"y\"; \n" ); document.write( "7y = 30 \n" ); document.write( "Divide both sides by 7: \n" ); document.write( "y = 30/7 \n" ); document.write( "-------------------- \n" ); document.write( "Going back to the original equations to solve for \"x\": \n" ); document.write( "2x - 5y = -12 \n" ); document.write( "3x - 4y = 3\r \n" ); document.write( "\n" ); document.write( "Multiply thru the top equation by 4 and the bottom by 5: \n" ); document.write( "8x - 20y = -48 \n" ); document.write( "15x - 20y = 15 \n" ); document.write( "--------------- \n" ); document.write( "Subtract the top equation from the bottom: \n" ); document.write( "7x = 63 \n" ); document.write( "x = 9 \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |