Solve 2x+6y=3

$$2 x + 6 y = 3$$

Solve for x

$$x=\frac{3}{2}-3y$$

Steps for Solving Linear Equation

Subtract 6y from both sides.

$$2x=3-6y$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{3-6y}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{3-6y}{2}$$

Divide 3-6y by 2.

$$x=\frac{3}{2}-3y$$

Solve for y

$$y=-\frac{x}{3}+\frac{1}{2}$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$6y=3-2x$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{3-2x}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{3-2x}{6}$$

Divide 3-2x by 6.

$$y=-\frac{x}{3}+\frac{1}{2}$$