# Solving One-Step Linear Equations

Some linear equations can be solved with a single operation. For this type of equation, use the inverse operation to solve.

Example 1:

Solve for $n$.

$n+8<10$

The inverse operation of addition is subtraction. So, subtract $8$ from both sides.

$\begin{array}{l}n+8-8<10-8\\ n<2\end{array}$

Example 2:

Solve for $y$.

$\left(\frac{3}{4}\right)y=15$

The inverse operation of multiplication is division.

So, divide both sides by $\frac{3}{4}$ (which is the same as multiplying by $\frac{4}{3}$).

$\begin{array}{l}\left(\frac{4}{3}\right)\left(\frac{3}{4}\right)y=\left(\frac{4}{3}\right)15\\ y=20\end{array}$