Question

If ab= 7x-6 and bc= 12-2x. Then what does ac equal?

Answer 1

ab = (7x-6) → b = (7x-6)/a (1)

bc = (12-2x) → b = (12-2x)/c (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)

Multiply both numerators of (3) by the SQUARE of their respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72