Question

5x + 715 -XАBCGiven: AB = 5x + 7 BO = 15 - X, and AC = 62.Find the value of x.X =

Answer 1

We have that

$(5x+7)+(15-x)=62$

Then

$5x+7+15-x=62\Rightarrow5x-x+7+15=62\Rightarrow4x+22=62$$4x+22=62\Rightarrow4x=62-22\Rightarrow4x=40\Rightarrow x=\frac{40}{4}\Rightarrow x=10$

We need to group similar terms. Then, we sum them algebraically.

We obtain 4x+22=62. We subtract 22 to both sides of the equation, and finally divide both sides of the equation by 4.