Solve a_{n}=5N+6quadS_{40}=

$$a _ { n } = 5 N + 6 \quad S _ { 40 } =$$

Solve for N

$$N=\frac{a_{n}-6S_{40}}{5}$$

Steps for Solving Linear Equation

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

$$5N+6S_{40}=a_{n}$$

Subtract 6S_{40} from both sides.

$$5N=a_{n}-6S_{40}$$

Divide both sides by 5.

$$\frac{5N}{5}=\frac{a_{n}-6S_{40}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$N=\frac{a_{n}-6S_{40}}{5}$$

Solve for S_40

$$S_{40}=\frac{a_{n}-5N}{6}$$

Steps for Solving Linear Equation

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

$$5N+6S_{40}=a_{n}$$

Subtract 5N from both sides.

$$6S_{40}=a_{n}-5N$$

Divide both sides by 6.

$$\frac{6S_{40}}{6}=\frac{a_{n}-5N}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$S_{40}=\frac{a_{n}-5N}{6}$$