Solve x+6y-4=0

$$x+6y-4=0$$

Solve for x

$$x=4-6y$$

Solution Steps

Subtract 6y from both sides. Anything subtracted from zero gives its negation.

$$x-4=-6y$$

Add 4 to both sides.

$$x=-6y+4$$

Solve for y

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

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$6y-4=-x$$

Add 4 to both sides.

$$6y=-x+4$$

The equation is in standard form.

$$6y=4-x$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{4-x}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{4-x}{6}$$

Divide -x+4 by 6.

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