document.write( "Question 874535: solve:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B2y=16\"$ , $\"%28sqrt%28x-2%29%29=y-3\"$ \n" ); document.write( "

Algebra.Com's Answer #527558 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"x%2B2y=16\"$
\n" ); document.write( "2. $\"%28sqrt%28x-2%29%29=y-3\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"x-2=%28y-3%29%5E2\"$
\n" ); document.write( " $\"x=2%2B%28y-3%29%5E2\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"2%2B%28y-3%29%5E2%2B2y=16\"$
\n" ); document.write( " $\"2%2By%5E2-6y%2B9%2B2y=16\"$
\n" ); document.write( " $\"y%5E2-4y%2B11=16\"$
\n" ); document.write( " $\"y%5E2-4y-5=0\"$
\n" ); document.write( " $\"%28y-5%29%28y%2B1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y-5=0\"$
\n" ); document.write( " $\"y=5\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"x%2B2%285%29=16\"$
\n" ); document.write( " $\"x%2B10=16\"$
\n" ); document.write( " $\"x=6\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y%2B1=0\"$
\n" ); document.write( " $\"y=-1\"$
\n" ); document.write( "Not allowed by the square root function so only one solution.
\n" ); document.write( "(6,5)
\n" ); document.write( " \n" ); document.write( "

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