Solve 3xy3z=sqrt{3300}

$$3xy3z= \sqrt{ 3300 }$$

Solve for x

$$x=\frac{10\sqrt{33}}{3y_{3}z}$$

$$z\neq 0\text{ and }y_{3}\neq 0$$

Steps for Solving Linear Equation

Factor 3300=10^{2}\times 33. Rewrite the square root of the product \sqrt{10^{2}\times 33} as the product of square roots \sqrt{10^{2}}\sqrt{33}. Take the square root of 10^{2}.

$$3xy_{3}z=10\sqrt{33}$$

The equation is in standard form.

$$3y_{3}zx=10\sqrt{33}$$

Divide both sides by 3y_{3}z.

$$\frac{3y_{3}zx}{3y_{3}z}=\frac{10\sqrt{33}}{3y_{3}z}$$

Dividing by 3y_{3}z undoes the multiplication by 3y_{3}z.

$$x=\frac{10\sqrt{33}}{3y_{3}z}$$

Solve for y_3

$$y_{3}=\frac{10\sqrt{33}}{3xz}$$

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

Steps for Solving Linear Equation

Factor 3300=10^{2}\times 33. Rewrite the square root of the product \sqrt{10^{2}\times 33} as the product of square roots \sqrt{10^{2}}\sqrt{33}. Take the square root of 10^{2}.

$$3xy_{3}z=10\sqrt{33}$$

The equation is in standard form.

$$3xzy_{3}=10\sqrt{33}$$

Divide both sides by 3xz.

$$\frac{3xzy_{3}}{3xz}=\frac{10\sqrt{33}}{3xz}$$

Dividing by 3xz undoes the multiplication by 3xz.

$$y_{3}=\frac{10\sqrt{33}}{3xz}$$