Question

Solve for x. Show steps.
$y=mx+b$

Answer 1

Answer:

$x=\frac{y-b}m$

Step-by-step explanation:

We subtract b from both sides.

$y-b = mx$

We divide both sides by m  (as long as $m\ne0$) and read right to left.

$x= \frac{y-b}m$

Answer 2

Answer:

$x=\frac{y-b}{m}$

Step-by-step explanation:

$\mathrm{Switch\:sides}$

$mx+b=y$

$\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}$

$mx+b-b=y-b$

$\mathrm{Simplify}$

$mx=y-b$

$\mathrm{Divide\:both\:sides\:by\:}m;\quad \:m\ne \:0$

$\frac{mx}{m}=\frac{y}{m}-\frac{b}{m};\quad \:m\ne \:0$

$\mathrm{Simplify}$

$x=\frac{y-b}{m};\quad \:m\ne \:0$

[RevyBreeze]