Solve 6x+2y=5

$$6 x + 2 y = 5$$

Solve for x

$$x=-\frac{y}{3}+\frac{5}{6}$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$6x=5-2y$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{5-2y}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{5-2y}{6}$$

Divide 5-2y by 6.

$$x=-\frac{y}{3}+\frac{5}{6}$$

Solve for y

$$y=\frac{5}{2}-3x$$

Steps for Solving Linear Equation

Subtract 6x from both sides.

$$2y=5-6x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{5-6x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{5-6x}{2}$$

Divide 5-6x by 2.

$$y=\frac{5}{2}-3x$$