Solve v/7x=w/yquadx=

$$\frac { v } { 7 x } = \frac { w } { y } \quad x =$$

Solve for v

$$v=\frac{7wx^{2}}{y}$$

$$x\neq 0\text{ and }y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7xy, the least common multiple of 7x,y.

$$yv=7xwx$$

Multiply x and x to get x^{2}.

$$yv=7x^{2}w$$

The equation is in standard form.

$$yv=7wx^{2}$$

Divide both sides by y.

$$\frac{yv}{y}=\frac{7wx^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$v=\frac{7wx^{2}}{y}$$

Solve for w

$$w=\frac{vy}{7x^{2}}$$

$$x\neq 0\text{ and }y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7xy, the least common multiple of 7x,y.

$$yv=7xwx$$

Multiply x and x to get x^{2}.

$$yv=7x^{2}w$$

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

$$7x^{2}w=yv$$

The equation is in standard form.

$$7x^{2}w=vy$$

Divide both sides by 7x^{2}.

$$\frac{7x^{2}w}{7x^{2}}=\frac{vy}{7x^{2}}$$

Dividing by 7x^{2} undoes the multiplication by 7x^{2}.

$$w=\frac{vy}{7x^{2}}$$