Question

Find x if AB = x-6, BC = 7,
and AC= -8 + 2x.

Answer 1

9

Explanation:

set up the equation: ab+bc=ac

(x-6) + 7 = (-8+2x)

Step 1: Simplify both sides of the equation.

x−6+7=−8+2x

x+−6+7=−8+2x

(x)+(−6+7)=2x−8(Combine Like Terms)

x+1=2x−8

x+1=2x−8

Step 2: Subtract 2x from both sides.

x+1−2x=2x−8−2x

−x+1=−8

Step 3: Subtract 1 from both sides.

−x+1−1=−8−1

−x=−9

Step 4: Divide both sides by -1.

−x/−1 = −9 /−1

x=9