Solve x-y/z=30sqrt{45}

$$\frac{ x-y }{ z } = 30 \sqrt{ 45 }$$

Solve for y

$$y=-90\sqrt{5}z+x$$

$$z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z.

$$x-y=30\sqrt{45}z$$

Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.

$$x-y=30\times 3\sqrt{5}z$$

Multiply 30 and 3 to get 90.

$$x-y=90\sqrt{5}z$$

Subtract x from both sides.

$$-y=90\sqrt{5}z-x$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{90\sqrt{5}z-x}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{90\sqrt{5}z-x}{-1}$$

Divide 90\sqrt{5}z-x by -1.

$$y=-90\sqrt{5}z+x$$

Solve for x

$$x=90\sqrt{5}z+y$$

$$z\neq 0$$