Solve 440=340/340-v_{s}400

$$440 = \frac { 340 } { 340 - v _ { s } } 400$$

Solve for v_s

$$v_{s} = \frac{340}{11} = 30\frac{10}{11} \approx 30.909090909$$

Steps for Solving Linear Equation

Divide both sides by 400.

$$\frac{440}{400}=\frac{340}{340-v_{s}}$$

Reduce the fraction \frac{440}{400} to lowest terms by extracting and canceling out 40.

$$\frac{11}{10}=\frac{340}{340-v_{s}}$$

Variable v_{s} cannot be equal to 340 since division by zero is not defined. Multiply both sides of the equation by 10\left(v_{s}-340\right), the least common multiple of 10,340-v_{s}.

$$11\left(v_{s}-340\right)=-10\times 340$$

Use the distributive property to multiply 11 by v_{s}-340.

$$11v_{s}-3740=-10\times 340$$

Multiply -10 and 340 to get -3400.

$$11v_{s}-3740=-3400$$

Add 3740 to both sides.

$$11v_{s}=-3400+3740$$

Add -3400 and 3740 to get 340.

$$11v_{s}=340$$

Divide both sides by 11.

$$v_{s}=\frac{340}{11}$$