Question

Can someone help me show work

Answer 1

The value of x = 12

Explanation:

Given

• AB = x+5

• BC = 3x+10

• AC = x+51

As AC is the sum of AB and BC i.e.

• AC = AB+BC

substituting AC = x+51, AB = x+5, BC = 3x+10

AC = AB+BC

x+51 = x+5 + 3x+10

x+51 = 4x+15

switching sides

4x+15 = x+51

4x-x = 51-15

3x = 36

Divide both sides by 3

3x/3 = 36/3

x = 12

Therefore, the value of x = 12