Solve 6y-12=42x

$$6 y - 12 = 42 x$$

Solve for x

$$x=\frac{y-2}{7}$$

Steps for Solving Linear Equation

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

$$42x=6y-12$$

Divide both sides by 42.

$$\frac{42x}{42}=\frac{6y-12}{42}$$

Dividing by 42 undoes the multiplication by 42.

$$x=\frac{6y-12}{42}$$

Divide -12+6y by 42.

$$x=\frac{y-2}{7}$$

Solve for y

$$y=7x+2$$

Steps for Solving Linear Equation

Add 12 to both sides.

$$6y=42x+12$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{42x+12}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{42x+12}{6}$$

Divide 42x+12 by 6.

$$y=7x+2$$