Solve y*2=x*6

$$y \cdot 2 = x \cdot 6$$

Solve for x

$$x=\frac{y}{3}$$

Steps for Solving Linear Equation

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

$$x\times 6=y\times 2$$

The equation is in standard form.

$$6x=2y$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{2y}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{2y}{6}$$

Divide 2y by 6.

$$x=\frac{y}{3}$$

Solve for y

$$y=3x$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2y=6x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{6x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{6x}{2}$$

Divide 6x by 2.

$$y=3x$$