Question

Make u the subject of the formula:

Answer 1

Answer:

u = $\frac{b-a}{a+b}$

Step-by-step explanation:

Given

$\frac{a}{1-u}$ = $\frac{b}{1+u}$ ( cross- multiply )

a(1 + u) = b(1 - u) ← distribute parenthesis on both sides

a + au = b - bu ( add bu to both sides )

a + au + bu = b ( subtract a from both sides )

au + bu = b - a ← factor out u from each term on left side

u(a + b) = b - a ← divide both sides by (a + b)

u = $\frac{b-a}{a+b}$