Answer:
x = wy / y+w
Step-by-step explanation:
1/x = 1/w + 1/y
Find LCD of the terms
xwy
Multiply each term by xwy and simplify
wy = xy + xw
x(y+w)=xy
1/w + 1/y = 1/x Multiply through by wy
y + w = 1/x
wy
Multiply both sides by x
x * (y + w) = 1
Multiply both sides by wy
x * (y + w) = wy
Divide both sides by (y + w)
x = wy / (y + w)
