document.write( "Question 6485: Can you help with this non-linear systems of equations
\n" ); document.write( "X^2 - Y^2 = 32
\n" ); document.write( "X - Y = 8\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance. \n" ); document.write( "

Algebra.Com's Answer #3474 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
use X=Y+8\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: Y=-2.
Graphical form: Equation $\"%28Y%2B8%29%5E2-Y%5E2=32\"$ was fully solved.
Text form: (Y+8)^2-Y^2=32 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%28Y%2B8%29%5E2-Y%5E2=32+%29\"$
For tutors: simplify_cartoon( (Y+8)^2-Y^2=32 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"%28Y%2B8%29%5E2-Y%5E2=highlight_red%28+32+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-32+%29\"$
It becomes $\"%28Y%2B8%29%5E2-Y%5E2-highlight_green%28+32+%29=0\"$ .
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Look at $\"highlight_red%28+%28Y%2B8%29%5E2-Y%5E2-32+%29=0\"$ .
Solved linear equation $\"highlight_red%28+%28Y%2B8%29%5E2-Y%5E2-32=0+%29\"$ equivalent to 16*Y+32 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: Y=-2.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "So, Y=-2, and X = Y+8 = -2+8 = 6. \n" ); document.write( "

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