Solve x3/y_{1}=p/11

$$x \frac { 3 } { y _ { 1 } } = \frac { p } { 11 }$$

Solve for p

$$p=\frac{33x}{y_{1}}$$

$$y_{1}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 11y_{1}, the least common multiple of y_{1},11.

$$x\times 11\times 3=y_{1}p$$

Multiply 11 and 3 to get 33.

$$x\times 33=y_{1}p$$

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

$$y_{1}p=x\times 33$$

The equation is in standard form.

$$y_{1}p=33x$$

Divide both sides by y_{1}.

$$\frac{y_{1}p}{y_{1}}=\frac{33x}{y_{1}}$$

Dividing by y_{1} undoes the multiplication by y_{1}.

$$p=\frac{33x}{y_{1}}$$

Solve for x

$$x=\frac{py_{1}}{33}$$

$$y_{1}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 11y_{1}, the least common multiple of y_{1},11.

$$x\times 11\times 3=y_{1}p$$

Multiply 11 and 3 to get 33.

$$x\times 33=y_{1}p$$

The equation is in standard form.

$$33x=py_{1}$$

Divide both sides by 33.

$$\frac{33x}{33}=\frac{py_{1}}{33}$$

Dividing by 33 undoes the multiplication by 33.

$$x=\frac{py_{1}}{33}$$