Solve y-1=-1/3(x+9)

$$y - 1 = - \frac { 1 } { 3 } ( x + 9 )$$

Solve for x

$$x=-3y-6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{3} by x+9.

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

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

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

Add 3 to both sides.

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

Add -1 and 3 to get 2.

$$-\frac{1}{3}x=y+2$$

Multiply both sides by -3.

$$\frac{-\frac{1}{3}x}{-\frac{1}{3}}=\frac{y+2}{-\frac{1}{3}}$$

Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.

$$x=\frac{y+2}{-\frac{1}{3}}$$

Divide y+2 by -\frac{1}{3} by multiplying y+2 by the reciprocal of -\frac{1}{3}.

$$x=-3y-6$$

Solve for y

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

Solution Steps

Use the distributive property to multiply -\frac{1}{3} by x+9.

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

Add 1 to both sides.

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

Add -3 and 1 to get -2.

$$y=-\frac{1}{3}x-2$$