document.write( "Question 349148: How do you work the problem... Y=x+8 and X+Y=2 \n" ); document.write( "

Algebra.Com's Answer #249585 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"y=x%2B8+\"$
\n" ); document.write( "2. $\"+x%2By=2\"$
\n" ); document.write( "Use substitution, substitute eq. 1 into eq. 2 and solve for $\"x\"$ .
\n" ); document.write( " $\"x%2B%28x%2B8%29=2\"$
\n" ); document.write( " $\"2x%2B8=2\"$
\n" ); document.write( " $\"2x=-6\"$
\n" ); document.write( " $\"highlight%28x=-3%29\"$
\n" ); document.write( "Now use eq. 1 to solve for y.
\n" ); document.write( " $\"y=-3%2B8\"$
\n" ); document.write( " $\"highlight%28y=5%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Verify by plugging the solutions into the original equations.
\n" ); document.write( " $\"y=x%2B8\"$
\n" ); document.write( " $\"5=-3%2B8\"$
\n" ); document.write( " $\"5=5\"$
\n" ); document.write( "True.
\n" ); document.write( " $\"x%2By=2\"$
\n" ); document.write( " $\"-3%2B5=2\"$
\n" ); document.write( " $\"2=2\"$
\n" ); document.write( "True.
\n" ); document.write( "It's a good solution. \n" ); document.write( "

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