Question

Rearrange the equation y = 4x – 5 to find x in terms of y.

Answer 1

We have:

y = 4x - 5

Lets add 5 in each member:

y + 5 = 4x - 5 + 5

y + 5 = 4x

Divide the entire equation by 4:

$\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}$