Solve 4p/7=t/k

$$\frac { 4 p } { 7 } = \frac { t } { k }$$

Solve for k

$$\left\{\begin{matrix}k=\frac{7t}{4p}\text{, }&t\neq 0\text{ and }p\neq 0\\k\neq 0\text{, }&p=0\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7k, the least common multiple of 7,k.

$$k\times 4p=7t$$

Reorder the terms.

$$4kp=7t$$

The equation is in standard form.

$$4pk=7t$$

Divide both sides by 4p.

$$\frac{4pk}{4p}=\frac{7t}{4p}$$

Dividing by 4p undoes the multiplication by 4p.

$$k=\frac{7t}{4p}$$

Variable k cannot be equal to 0.

$$k=\frac{7t}{4p}\text{, }k\neq 0$$

Solve for p

$$p=\frac{7t}{4k}$$

$$k\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7k, the least common multiple of 7,k.

$$k\times 4p=7t$$

Reorder the terms.

$$4kp=7t$$

Divide both sides by 4k.

$$\frac{4kp}{4k}=\frac{7t}{4k}$$

Dividing by 4k undoes the multiplication by 4k.

$$p=\frac{7t}{4k}$$