Solve v/x_{c}=120/1.06*10^4

$$\frac { v } { x _ { c } } = \frac { 120 } { 1.06 \times 10 ^ { 4 } }$$

Solve for v

$$v=\frac{3x_{c}}{265}$$

$$x_{c}\neq 0$$

Solution Steps

Multiply both sides of the equation by x_{c}.

$$v=\frac{1}{10600}x_{c}\times 120$$

Multiply \frac{1}{10600} and 120 to get \frac{3}{265}.

$$v=\frac{3}{265}x_{c}$$

Solve for x_c

$$x_{c}=\frac{265v}{3}$$

$$v\neq 0$$

Steps for Solving Linear Equation

Variable x_{c} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x_{c}.

$$v=\frac{1}{10600}x_{c}\times 120$$

Multiply \frac{1}{10600} and 120 to get \frac{3}{265}.

$$v=\frac{3}{265}x_{c}$$

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

$$\frac{3}{265}x_{c}=v$$

Divide both sides of the equation by \frac{3}{265}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{265}x_{c}}{\frac{3}{265}}=\frac{v}{\frac{3}{265}}$$

Dividing by \frac{3}{265} undoes the multiplication by \frac{3}{265}.

$$x_{c}=\frac{v}{\frac{3}{265}}$$

Divide v by \frac{3}{265} by multiplying v by the reciprocal of \frac{3}{265}.

$$x_{c}=\frac{265v}{3}$$

Variable x_{c} cannot be equal to 0.

$$x_{c}=\frac{265v}{3}\text{, }x_{c}\neq 0$$