document.write( "Question 102460: (y+10)*X=1800
\n" ); document.write( "(x+10)*Y = 2000
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Algebra.Com's Answer #74482 by Fombitz(32388)\"\" \"About 
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1.(Y+10)*X=1800
\n" ); document.write( "2.(X+10)*Y = 2000\r
\n" ); document.write( "\n" ); document.write( "Use one equation to solve for one variable in terms of another and then solve using the second equation. Let's use equation 2 and solve for Y.
\n" ); document.write( "\"%28X%2B10%29%2AY+=+2000\"
\n" ); document.write( "\"cross%28X%2B10%29%2AY%2Fcross%28X%2B10%29=2000%2F%28X%2B10%29\"
\n" ); document.write( "\"Y=2000%2F%28X%2B10%29\"
\n" ); document.write( "Now use equation (1) and substitute for Y\r
\n" ); document.write( "\n" ); document.write( "\"%28Y%2B10%29%2AX+=+1800\"
\n" ); document.write( "\"%282000%2F%28X%2B10%29%2B10%29%2AX+=+1800\" Substitute
\n" ); document.write( "\"2000%2AX%2F%28X%2B10%29%2B10%2AX+=+1800\"Distributive property
\n" ); document.write( "\"%282000%2B10%2A%28X%2B10%29%29%2AX+=+1800%2A%28X%2B10%29\" Multiply both sides by (X+10)
\n" ); document.write( "\"2000%2AX%2B10%2A%28X%5E2%29%2B100%2AX+=+1800%2AX%2B18000\"Distribute and simplify.
\n" ); document.write( "\"10%2A%28X%5E2%29%2B300%2AX-18000+=+0\"Additive inverse of 1800x and 20000.
\n" ); document.write( "\"X%5E2%2B30%2AX+-1800+=+0\"Divide by 10.
\n" ); document.write( "\"%28X%2B60%29%2A%28X-30%29+=+0\"Factor the equation.
\n" ); document.write( "\"X=-60\" and \"X=30\"
\n" ); document.write( "From equation (2),
\n" ); document.write( "\"2.%28X%2B10%29%2AY+=+2000\"
\n" ); document.write( "For X=-60,
\n" ); document.write( "\"%28-60%2B10%29%2AY+=+2000\"
\n" ); document.write( "\"%28-50%29%2AY+=+2000\"
\n" ); document.write( "\"Y=-40\"
\n" ); document.write( "For X=30,
\n" ); document.write( "\"%28Y%2B10%29%2AY+=+2000\"
\n" ); document.write( "\"%2830%2B10%29%2AY+=+2000\"
\n" ); document.write( "\"%2840%29%2AY+=+2000\"
\n" ); document.write( "\"Y=50\"
\n" ); document.write( "Two solution pairs:
\n" ); document.write( "X=-60 and Y=-40
\n" ); document.write( "and
\n" ); document.write( "X=30 and Y=50
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