Find midpoint between AC, AB = 8x-7 BC = 6x+7

Answer 1

If you are trying to find the midpoint, the segments have to be the same length. You can set up the following equation and solve.

8x-7=6x+7 Subtract 6x from both sides

8x-7-6x=6x+7-6x Simplify

2x-7=7 Add 7 to both sides

2x-7+7=7+7 Simplify

2x=14 Divide by 2

2x/2=14/2

x=7

You can find the length of both segments:

8(7)-7 = 49

6(7)+7 = 49