Solve sqrt{2}5ydiv65x=5

$$\sqrt{ 2 } 5y \div 65x=5$$

Solve for x

$$x=\frac{65\sqrt{2}}{2y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 65.

$$5\sqrt{2}yx=325$$

Divide both sides by 5\sqrt{2}y.

$$\frac{5\sqrt{2}yx}{5\sqrt{2}y}=\frac{325}{5\sqrt{2}y}$$

Dividing by 5\sqrt{2}y undoes the multiplication by 5\sqrt{2}y.

$$x=\frac{325}{5\sqrt{2}y}$$

Divide 325 by 5\sqrt{2}y.

$$x=\frac{65\sqrt{2}}{2y}$$

Solve for y

$$y=\frac{65\sqrt{2}}{2x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 65.

$$5\sqrt{2}yx=325$$

Reorder the terms.

$$5\sqrt{2}xy=325$$

Divide both sides by 5\sqrt{2}x.

$$\frac{5\sqrt{2}xy}{5\sqrt{2}x}=\frac{325}{5\sqrt{2}x}$$

Dividing by 5\sqrt{2}x undoes the multiplication by 5\sqrt{2}x.

$$y=\frac{325}{5\sqrt{2}x}$$

Divide 325 by 5\sqrt{2}x.

$$y=\frac{65\sqrt{2}}{2x}$$