Question

Ab over 2 equal 2a minus 1,express a in terms of b

Answer 1

$\frac{ab}{2}$ = 2a - 1

2($\frac{ab}{2}$) = 2(2a - 1) multiplied both sides by 2

ab = 4a - 2 distributed the 2 on the right side

ab - 4a = -2 subtracted 4a from both sides

a(b - 4) = -2 factored out "a" from the left side

a = $\frac{-2}{b - 4}$ divided (b - 4) on both sides

Answer: a = $\frac{-2}{b - 4}$