4/x + 3/y = 1/z subtract 4x from both sides
3/y = 1/z - 4/x Multiply both sides by , then divide both sides by (1/z-4x)
3 / (1/z-4/x) = y
Solve for y:
4/x+3/y = 1/z
Bring 4/x+3/y together using the common denominator x y:
(3 x+4 y)/(x y) = 1/z
Cross multiply:
z (3 x+4 y) = x y
Expand out terms of the left hand side:
3 x z+4 y z = x y
Subtract x y+3 x z from both sides:
y (4 z-x) = -3 x z
Divide both sides by 4 z-x:
Answer: |y = -(3xz)/(4z - x)