Solve -x+6y=3

$$- x + 6 y = 3$$

Solve for x

$$x=6y-3$$

Steps for Solving Linear Equation

Subtract 6y from both sides.

$$-x=3-6y$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{3-6y}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{3-6y}{-1}$$

Divide 3-6y by -1.

$$x=6y-3$$

Solve for y

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

Steps for Solving Linear Equation

Add x to both sides.

$$6y=3+x$$

The equation is in standard form.

$$6y=x+3$$

Divide both sides by 6.

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

Dividing by 6 undoes the multiplication by 6.

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

Divide 3+x by 6.

$$y=\frac{x}{6}+\frac{1}{2}$$