Question

Solve the proportion x+10/x+7=x+2/2x-1

Answer 1

x = - 12 , x = 2

Explanation:

`(x+10)/(x+7)` =
`(x+2)/(2x-1)` ( cross- multiply )

(2x - 1)(x + 10) = (x + 2)(x + 7) ← expand both sides using FOIL

2x² + 19x - 10 = x² + 9x + 14 ← subtract x² + 9x + 14 from both sides

x² + 10x - 24 = 0 ← in standard form

(x + 12)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 2 = 0 ⇒ x = 2