SOLUTION: Find the equation of a pair of lines represented by ab(x^2-y^2)+(a^2-b^2)xy=0

Algebra ->  Systems-of-equations -> SOLUTION: Find the equation of a pair of lines represented by ab(x^2-y^2)+(a^2-b^2)xy=0      Log On


   

Question 1072535: Find the equation of a pair of lines represented by ab(x^2-y^2)+(a^2-b^2)xy=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
ab%28x%5E2-y%5E2%29%2B%28a%5E2-b%5E2%29xy=0
abx%5E2-aby%5E2%2Ba%5E2xy-b%5E2xy=0
a%5E2xy-aby%5E2%2Babx%5E2-b%5E2xy=0
%28ay%2Bbx%29%28ax-by%29=0
So then,
ay%2Bbx=0
ay=-bx
y=-%28b%2Fa%29x
and
ax-by=0
by=ax
y=%28a%2Fb%29x