SOLUTION: Can you help with this non-linear systems of equations X^2 - Y^2 = 32 X - Y = 8 Thank you in advance.

Algebra ->  Systems-of-equations -> SOLUTION: Can you help with this non-linear systems of equations X^2 - Y^2 = 32 X - Y = 8 Thank you in advance.      Log On


   

Question 6485: Can you help with this non-linear systems of equations
X^2 - Y^2 = 32
X - Y = 8
Thank you in advance.
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
use X=Y+8
(Y+8)^2-Y^2 = 32
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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.

DETAILED EXPLANATION

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.
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
This is an equation! Solutions: Y=-2.

Universal Simplifier and Solver


Done!


So, Y=-2, and X = Y+8 = -2+8 = 6.