Question

How do you solve for $x$ in $y=mx+b$?

Answer 1

How to solve for $x$ in $y=mx+b$:

The given equation is,

$\begin{array}{rcl}y& =& mx+b\\ & \Rightarrow & -mx=b-y\\ & \Rightarrow & mx=-b+y\\ & \Rightarrow & mx=y-b\\ \because x& =& \frac{y-b}{m}\end{array}$

Hence, the required value of $x$ is $\begin{array}{l}\frac{\mathbf{y}\mathbf{-}\mathbf{b}}{\mathbf{m}}\end{array}$.