document.write( "Question 132636: a/b=x-y/y-z
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Algebra.Com's Answer #96928 by jim_thompson5910(35256)\"\" \"About 
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\"a%2Fb=%28x-y%29%2F%28y-z%29\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"a%28y-z%29=b%28x-y%29\" Cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"ay-az=bx-by\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"-az=bx-by-ay\" Subtract ay from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-az-bx=-by-ay\" Subtract bx from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-az-bx=y%28-b-a%29\" Factor out the GCF \"y\" from the right side\r
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\n" ); document.write( "\n" ); document.write( "\"%28-az-bx%29%2F%28-b-a%29=y\" Divide both sides by \"-b-a\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-az-bx%29%2F%28-b-a%29\" Rearrange the equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-1%28az%2Bbx%29%29%2F%28-b-a%29\" Factor out -1 from the numerator\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28-1%28az%2Bbx%29%29%2F%28-1%28b%2Ba%29%29\" Factor out -1 from the denominator\r
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\n" ); document.write( "\n" ); document.write( "\"y=cross%28-1%29%28az%2Bbx%29%2Fcross%28-1%29%28b%2Ba%29\" Cancel out the \"-1\" terms\r
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\n" ); document.write( "\n" ); document.write( "\"y=%28az%2Bbx%29%2F%28b%2Ba%29\" Simplify
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