document.write( "Question 324137: How do I solve the linear equations using the elimination method? Can some please explain it to me?\r
\n" ); document.write( "\n" ); document.write( "+8x7y=12\r
\n" ); document.write( "\n" ); document.write( "-7x-4y=-2
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Algebra.Com's Answer #231984 by maciaemi(11)\"\" \"About 
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8x + 7y = 12
\n" ); document.write( "-7x - 4y = -2\r
\n" ); document.write( "\n" ); document.write( "1)First, you have to make one of the numbers the same in order to eliminate it.
\n" ); document.write( " So, first, multiply the whole first equation by 7 and the whole second
\n" ); document.write( " equation by 8. The new equation should look like this:
\n" ); document.write( " 56x + 49y = 84
\n" ); document.write( " -56x - 32y = -16\r
\n" ); document.write( "\n" ); document.write( "2)Next, subtract the numbers. (Elimination)
\n" ); document.write( " 49y = 84
\n" ); document.write( " -32y = -16\r
\n" ); document.write( "\n" ); document.write( " 17y = 68
\n" ); document.write( " y = 4\r
\n" ); document.write( "\n" ); document.write( "3)Now that you have the answer to y, you have to find x. So now, we make the
\n" ); document.write( " numbers for y the same. So, multiply the first equation by 4 and the second
\n" ); document.write( " equation by 7.
\n" ); document.write( " 32x + 28y = 48
\n" ); document.write( " -49x - 28y = -14\r
\n" ); document.write( "\n" ); document.write( "4)Now, subtract.
\n" ); document.write( " 32x = 48
\n" ); document.write( " -49x = -14\r
\n" ); document.write( "\n" ); document.write( " -17x = 34
\n" ); document.write( " x = -2
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