Solve P=6t+8/4-t

$$P = \frac { 6 t + 8 } { 4 - t }$$

Solve for t

$$t=\frac{4\left(P-2\right)}{P+6}$$

$$P\neq -6$$

Steps for Solving Linear Equation

Variable t cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by -t+4.

$$P\left(-t+4\right)=6t+8$$

Use the distributive property to multiply P by -t+4.

$$-Pt+4P=6t+8$$

Subtract 6t from both sides.

$$-Pt+4P-6t=8$$

Subtract 4P from both sides.

$$-Pt-6t=8-4P$$

Combine all terms containing t.

$$\left(-P-6\right)t=8-4P$$

Divide both sides by -P-6.

$$\frac{\left(-P-6\right)t}{-P-6}=\frac{8-4P}{-P-6}$$

Dividing by -P-6 undoes the multiplication by -P-6.

$$t=\frac{8-4P}{-P-6}$$

Divide 8-4P by -P-6.

$$t=-\frac{4\left(2-P\right)}{P+6}$$

Variable t cannot be equal to 4.

$$t=-\frac{4\left(2-P\right)}{P+6}\text{, }t\neq 4$$

Solve for P

$$P=\frac{2\left(3t+4\right)}{4-t}$$

$$t\neq 4$$