Solve Tn=2n+1

$$T n = 2 n + 1$$

Solve for T

$$T=2+\frac{1}{n}$$

$$n\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$nT=2n+1$$

Divide both sides by n.

$$\frac{nT}{n}=\frac{2n+1}{n}$$

Dividing by n undoes the multiplication by n.

$$T=\frac{2n+1}{n}$$

Divide 2n+1 by n.

$$T=2+\frac{1}{n}$$

Solve for n

$$n=\frac{1}{T-2}$$

$$T\neq 2$$

Steps for Solving Linear Equation

Subtract 2n from both sides.

$$Tn-2n=1$$

Combine all terms containing n.

$$\left(T-2\right)n=1$$

Divide both sides by T-2.

$$\frac{\left(T-2\right)n}{T-2}=\frac{1}{T-2}$$

Dividing by T-2 undoes the multiplication by T-2.

$$n=\frac{1}{T-2}$$