document.write( "Question 468345: Given $\"2%5Ex=8%5E%28y%2B1%29\"$ and $\"9%5Ey=3%5E%28x-9%29\"$ , find the values of x+y. \n" ); document.write( "

Algebra.Com's Answer #321340 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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From the first equation $\"2%5Ex=8%5E%28y%2B1%29\"$
\n" ); document.write( " $\"2%5Ex=2%5E%283%28y%2B1%29%29\"$
\n" ); document.write( "So, $\"x=3%28y%2B1%29\"$
\n" ); document.write( "From the second equation $\"9%5Ey=3%5E%28x-9%29\"$
\n" ); document.write( " $\"3%5E%282y%29=3%5E%28x-9%29\"$
\n" ); document.write( " $\"2y=x-9\"$
\n" ); document.write( "System
\n" ); document.write( " $\"system%28x=3%28y%2B1%29%2C2y=x-9%29\"$
\n" ); document.write( " $\"system%28x-3y=3%2Cx-2y=9%29\"$ ,
\n" ); document.write( "Subtract the second equation from the first one
\n" ); document.write( " $\"-y=-6\"$
\n" ); document.write( " $\"y=6\"$
\n" ); document.write( "Put $\"y=6\"$ in the first equation
\n" ); document.write( " $\"x-3%2A6=3\"$
\n" ); document.write( " $\"x=21\"$
\n" ); document.write( " $\"system%28x=21%2Cy=6%29\"$
\n" ); document.write( " $\"x%2By=21%2B6=27\"$
\n" ); document.write( "Answer: 27 \n" ); document.write( "

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