Question

Consider the following formula:

ax-bc+y=z

What represents the formula for x?

Answer 1

Answer: z-y+bc/a

Explanation:

ax-bc+y=z

ax-bc=z-y

ax=z-y+bc

x=z-y+bc/a

Answer 2

x = (z-y)/(a-b)

Explanation:

Given ax-bx+y=z, we are asked to isolate x. To do so, first take common factor between the first and the second terms

ax-bx+y=z

(a-b)*x+y = z

Then, isolate the x term by subtracting y at both sides

(a-b)*x+y-y = z-y

(a-b)*x = z-y

Finally, divide by (a-b) at both sides

(a-b)*x/(a-b) = (z-y)/(a-b)

x = (z-y)/(a-b)