Question

AB = 2x + 1, BC = 16 inches, AC = 5x – 4. Use the diagram to solve for x:

Answer 1

Answer: x = 7

Explanation:

AB = 2x + 1
BC = 16 in
AC = AB + BC = 5x - 4

Therefore,
=> 2x + 1 + 16 = 5x - 4 (AB + BC = AC)
= 2x + 17 = 5x - 4
= 2x - 5x = -4 - 17
= -3x = -21
= 3x = 21
=> x = 21/3 = 7

Therefore, x = 7

Answer 2

X=7

Explanation:

from the diagram, AC = AB+BC

AC= 5X-4

AB= 2X+1

BC= 16 inches

5X - 4 = 2X+1+16

collect like terms

5X-2X= 1+16+4

3X = 21

divide both by 3X

3X/3 = 21/3

X= 7