Point h is on line segment GI. Given GI=3x, hi=2, and GH=5x-6, determine the numerical length of GH

Answer 1

Draw a diagram:

G H I = 3x

5x - 6 + 2

5x - 6 + 2 = 3x

5x - 4 = 3x

+4 +4 Add 4 to both sides to eliminate on the left

5x = 3x + 4 Subtract 3x from both sides to eliminate on the left

-3x -3x

2x = 4 Divide by 2

2 2

x = 2

We know that the WHOLE line would be 3 (2)

But they just want GH SO 5x - 6 = 5(2) - 6 10 - 6 = 4

GH = 4

Answer 2

Draw and label a diagram!

GH + HI = GI

5x - 6 + 2 = 3x

Can you solve for x and answer?