Solve a-b/3=L

$$\frac { a - b } { 3 } = L$$

Solve for L

$$L=\frac{a-b}{3}$$

Solution Steps

Divide each term of a-b by 3 to get \frac{1}{3}a-\frac{1}{3}b.

$$\frac{1}{3}a-\frac{1}{3}b=L$$

Swap sides so that all variable terms are on the left hand side.

$$L=\frac{1}{3}a-\frac{1}{3}b$$

Solve for a

$$a=3L+b$$

Steps for Solving Linear Equation

Divide each term of a-b by 3 to get \frac{1}{3}a-\frac{1}{3}b.

$$\frac{1}{3}a-\frac{1}{3}b=L$$

Add \frac{1}{3}b to both sides.

$$\frac{1}{3}a=L+\frac{1}{3}b$$

The equation is in standard form.

$$\frac{1}{3}a=\frac{b}{3}+L$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}a}{\frac{1}{3}}=\frac{\frac{b}{3}+L}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$a=\frac{\frac{b}{3}+L}{\frac{1}{3}}$$

Divide L+\frac{b}{3} by \frac{1}{3} by multiplying L+\frac{b}{3} by the reciprocal of \frac{1}{3}.

$$a=3L+b$$