document.write( "Question 222186: Solve the system by the addition method showing all work:
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document.write( "(1/6)x + (1/4)y = -2
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document.write( "x – y = -6
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Algebra.Com's Answer #166499 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve the system by the addition method showing all work: \n" ); document.write( "(1/6)x + (1/4)y = -2 \n" ); document.write( "x – y = -6 \n" ); document.write( "multiply the 1st equation by 4. In the 2nd equation change coefficient of x to 6/6 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "-----------------addition eliminates y and you have: \n" ); document.write( " \n" ); document.write( "Multiply both sides by 6 \n" ); document.write( "10x = 6(-14) \n" ); document.write( "10x = -84 \n" ); document.write( "x = \n" ); document.write( "x = -8.4 \n" ); document.write( ": \n" ); document.write( "Find y using x - y = -6 \n" ); document.write( "-8.4 - y = -6 \n" ); document.write( "Multiply equation by -1 \n" ); document.write( "8.4 + y = 6 \n" ); document.write( "y = 6 - 8.4 \n" ); document.write( "y = -2.4 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the 1st equation \n" ); document.write( "(1/6)(-8.4) + (1/4)(-2.4) = -2 \n" ); document.write( "-1.4 + -.6 = -2 \n" ); document.write( " |