Solve 2x=sqrt{2}y

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

Solve for x

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

Steps for Solving Linear Equation

The equation is in standard form.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Solve for y

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

Steps for Solving Linear Equation

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

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

Divide both sides by \sqrt{2}.

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

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

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

Divide 2x by \sqrt{2}.

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