Answer:
x = -(3 y)/2
Step-by-step explanation:
Solve for x:
-2 x - 3 y + 3/(x + y) - (3 x - 3 y)/(x^2 - y^2) = 0
Simplify and substitute z = x + y.
-2 x - 3 y + 3/(x + y) - (3 x - 3 y)/(x^2 - y^2) = -y - 2 (x + y)
= -y - 2 z:
-y - 2 z = 0
Multiply both sides by -1:
y + 2 z = 0
Subtract y from both sides:
2 z = -y
Divide both sides by 2:
z = -y/2
Substitute back for z = x + y:
x + y = -y/2
Subtract y from both sides:
Answer: x = -(3 y)/2
