Question

F is between G and H.
If GF = 6x + 15, FH = 14 and GH = 10x - 3, find x.

Answer 1

x = 8

Explanation:

Given:

GF = 6x + 15

FH = 14

GH = 10x - 3

Step 1: Draw the situation.

Check the attached picture.

Step 2: Make an equation.

GH = GF + FH

10x - 3 = (6x + 15) + (14)

Step 3: Solve for x.

10x - 3 = 6x + 15 + 14

10x - 3 = 6x + 29

4x - 3 = 29

4x = 32

x = 8