Solve V_{a}:b=2:7

$$V _ { a } : b = 2 : 7$$

Solve for V_a

$$V_{a}=\frac{2b}{7}$$

$$b\neq 0$$

Steps for Solving Linear Equation

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

$$7V_{a}=2b$$

Divide both sides by 7.

$$\frac{7V_{a}}{7}=\frac{2b}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$V_{a}=\frac{2b}{7}$$

Solve for b

$$b=\frac{7V_{a}}{2}$$

$$V_{a}\neq 0$$

Steps for Solving Linear Equation

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

$$7V_{a}=2b$$

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

$$2b=7V_{a}$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{7V_{a}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{7V_{a}}{2}$$

Variable b cannot be equal to 0.

$$b=\frac{7V_{a}}{2}\text{, }b\neq 0$$