Solve y+13=(x-3)*-6

$$y + 13 = ( x - 3 ) \cdot - 6$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply x-3 by -6.

$$y+13=-6x+18$$

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

$$-6x+18=y+13$$

Subtract 18 from both sides.

$$-6x=y+13-18$$

Subtract 18 from 13 to get -5.

$$-6x=y-5$$

Divide both sides by -6.

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

Dividing by -6 undoes the multiplication by -6.

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

Divide y-5 by -6.

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

Solve for y

$$y=5-6x$$

Solution Steps

Use the distributive property to multiply x-3 by -6.

$$y+13=-6x+18$$

Subtract 13 from both sides.

$$y=-6x+18-13$$

Subtract 13 from 18 to get 5.

$$y=-6x+5$$