If AB = 4x - 3, BC = 2x + 1, and AC is 22, then what is AB? What is BC?

AB = 13

BC = 9

Step-by-step explanation:

AC = AB + BC

AC = (4x - 3) + (2x + 1)

AC = 6x - 2

If AC = 22 ...,

then we equate the statements ... so that we can obtain the value of x

; 6x - 2 = 22

; 6x = 24 ... hence giving ... x = 4

Then back to the question ... if x = 4

then ...,

; AB = 4 (4) - 3

; AB = 13

; BC = 2 (4) + 1

; BC = 9