If:
AC=26,
BC=7x + 2, and
AB = 9x + 8
Find BC!

BC = 9

Step-by-step explanation:

Given AC = 26

BC=7x + 2

AB = 9x + 8  

Since BC and AB are two parts of AC. Therefore we can write in the following form.

AC = AB +BC

Now insert the given values in the above formula.

26 = 9x + 8 + 7x + 2

26 = 16x + 10

26 – 10 = 16x

16 = 16x

x = 16 / 16  

x = 1

Now insert x = 1 in BC=7x + 2

BC = 7 (1) + 2

BC = 9