SOLUTION: Could you please help me solve this equation. ax-by=1 bx+ay=1 please show steps! Thank you for your help, it is greatly appreciated.

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Question 807724: Could you please help me solve this equation.
ax-by=1
bx+ay=1
please show steps!

Thank you for your help, it is greatly appreciated.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation.
ax-by=1
bx+ay=1
----------add the equations
ax + bx - by + ay = 2
ax + bx = by - ay + 2
x(a+b) = y(b-a) + 2
x = %28y%28b-a%29%2B2%29%2F%28%28a%2Bb%29%29
and
ax + bx - by + ay = 2
ay - by = -ax - bx + 2
y(a-b) = x(-a-b) + 2
y = %28x%28-a-b%29%2B2%29%2F%28%28a-b%29%29