Solve 2/7varphi=360/v

$$\frac { 2 } { 7 } \varphi = \frac { 360 } { v }$$

Solve for v

$$v=\frac{1260}{\phi }$$

$$\phi \neq 0$$

Steps for Solving Linear Equation

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

$$\frac{2}{7}\phi \times 7v=7\times 360$$

Multiply \frac{2}{7} and 7 to get 2.

$$2\phi v=7\times 360$$

Multiply 7 and 360 to get 2520.

$$2\phi v=2520$$

Divide both sides by 2\phi .

$$\frac{2\phi v}{2\phi }=\frac{2520}{2\phi }$$

Dividing by 2\phi undoes the multiplication by 2\phi .

$$v=\frac{2520}{2\phi }$$

Divide 2520 by 2\phi .

$$v=\frac{1260}{\phi }$$

Variable v cannot be equal to 0.

$$v=\frac{1260}{\phi }\text{, }v\neq 0$$

Solve for φ

$$\phi =\frac{1260}{v}$$

$$v\neq 0$$

Steps for Solving Linear Equation

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

$$\frac{2}{7}\phi \times 7v=7\times 360$$

Multiply \frac{2}{7} and 7 to get 2.

$$2\phi v=7\times 360$$

Multiply 7 and 360 to get 2520.

$$2\phi v=2520$$

The equation is in standard form.

$$2v\phi =2520$$

Divide both sides by 2v.

$$\frac{2v\phi }{2v}=\frac{2520}{2v}$$

Dividing by 2v undoes the multiplication by 2v.

$$\phi =\frac{2520}{2v}$$

Divide 2520 by 2v.

$$\phi =\frac{1260}{v}$$