Question

Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.

Answer 1

BC = 29

Explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

13x + 1196 = 91

- 1196 - 1196

13x = - 1105

÷13 ÷13

x = - 85

BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29