document.write( "Question 137536: Please help me solve this problem.
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document.write( "3.) Solve the system by addition.
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document.write( " x+2y=12
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document.write( " 4x+3y=18 \n" );
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Algebra.Com's Answer #100632 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Please help me solve this problem. \n" ); document.write( "3.) Solve the system by addition. \n" ); document.write( ": \n" ); document.write( " x + 2y = 12 \n" ); document.write( "4x + 3y = 18 \n" ); document.write( ": \n" ); document.write( "Multiply the 1st equation by -4 and add to the second equation: \n" ); document.write( "-4x - 8y = -48 \n" ); document.write( "+4x + 3y = 18 \n" ); document.write( "-----------------addition will eliminate x, solve for y \n" ); document.write( "0x - 5y = -30 \n" ); document.write( "y = \n" ); document.write( "y = +6 \n" ); document.write( ": \n" ); document.write( "Use the 1st equation to find x; substitute 6 for y: \n" ); document.write( "x + 2(6) = 12 \n" ); document.write( "x + 12 = 12 \n" ); document.write( "x = 12 - 12 \n" ); document.write( "x = 0 \n" ); document.write( ": \n" ); document.write( "Check solutions by substitution in the 2nd equation: \n" ); document.write( "4(0) + 3(6) = 18; confirms our solutions \n" ); document.write( " |