Find the value of x if A, B, and C are collinear points and B is between A and C. AB=5x−1,BC=14,AC=25−x AB=5x−1,BC=14,AC=25−x

Answer 1

This a beautiful and easy problem of collinear=same line.

5x-1 14

A._______________B_______________C

AB +BC = AC

5x-1+14 = 25-x. Let solve for x.

5x+13. = 25-x adding -x to both sides

+x +x

______________

6x+13 =25 subtracting 13 in both sides of the equation

-13. -13

_________

6x =12 Dividing both sides by 6

x=2. Answer. This what the problem ask , to find x.

Note: Let check the answer by substituting x in the first equation. : 5x-1 +14 = 25-x

5(2) -1+14 = 25 -2

10 -1+14 =23

23=23. therefore your answer balance the equation .