Question

What is the value of x?

Answer 1

x = 5

Explanation:

Set up proportion and cross multiply to solve:

9/2x-1 = 15/3x

x = 5

Answer 2

Explanation:

An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So

9/(2x - 1) = 15/3x Divide 3 into 15

9/(2x - 1) = 5/x Cross multiply

9x = 5(2x - 1) Remove the brackets

9x = 10x - 5 Switch sides.

10x - 5 = 9x Subtract 9x from both sides

10x - 9x - 5 = 0 Combine

x - 5 = 0 Add 5 to both sides.

x = 5