Question

Find the value of x .

Answer 1

Explanation:

Set up a proportion

BE/BC = BD/BA

BE = 3

BC = 2 + 3 = 5

BD = x + 2

BA = x + x + 2

BA = 2x + 2

3/5 = (x + 2) / (2x + 2) Cross multiply

3(2x + 2) = 5 (x + 2) Remove the brackets

6x + 6 = 5x + 10 Subtract 6 from both sides

6x = 5x + 4 Subtract 5x from both sides

x = 4