document.write( "Question 222186: 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
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Algebra.Com's Answer #166499 by ankor@dixie-net.com(22740)\"\" \"About 
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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( "\"4%2F6\"x + y = -8
\n" ); document.write( "\"6%2F6\"x - y = - 6
\n" ); document.write( "-----------------addition eliminates y and you have:
\n" ); document.write( "\"10%2F6\"x = -14
\n" ); document.write( "Multiply both sides by 6
\n" ); document.write( "10x = 6(-14)
\n" ); document.write( "10x = -84
\n" ); document.write( "x = \"%28-84%29%2F10\"
\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
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\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
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