Solve y-3=-1/4(x+20)

$$y - 3 = - \frac { 1 } { 4 } ( x + 20 )$$

Solve for x

$$x=-4y-8$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{4} by x+20.

$$y-3=-\frac{1}{4}x-5$$

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

$$-\frac{1}{4}x-5=y-3$$

Add 5 to both sides.

$$-\frac{1}{4}x=y-3+5$$

Add -3 and 5 to get 2.

$$-\frac{1}{4}x=y+2$$

Multiply both sides by -4.

$$\frac{-\frac{1}{4}x}{-\frac{1}{4}}=\frac{y+2}{-\frac{1}{4}}$$

Dividing by -\frac{1}{4} undoes the multiplication by -\frac{1}{4}.

$$x=\frac{y+2}{-\frac{1}{4}}$$

Divide y+2 by -\frac{1}{4} by multiplying y+2 by the reciprocal of -\frac{1}{4}.

$$x=-4y-8$$

Solve for y

$$y=-\frac{x}{4}-2$$

Solution Steps

Use the distributive property to multiply -\frac{1}{4} by x+20.

$$y-3=-\frac{1}{4}x-5$$

Add 3 to both sides.

$$y=-\frac{1}{4}x-5+3$$

Add -5 and 3 to get -2.

$$y=-\frac{1}{4}x-2$$