Solve y+3=-1/2(x-7)

$$y + 3 = - \frac { 1 } { 2 } ( x - 7 )$$

Solve for x

$$x=1-2y$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{2} by x-7.

$$y+3=-\frac{1}{2}x+\frac{7}{2}$$

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

$$-\frac{1}{2}x+\frac{7}{2}=y+3$$

Subtract \frac{7}{2} from both sides.

$$-\frac{1}{2}x=y+3-\frac{7}{2}$$

Subtract \frac{7}{2} from 3 to get -\frac{1}{2}.

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

Multiply both sides by -2.

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

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

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

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

$$x=1-2y$$

Solve for y

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

Solution Steps

Use the distributive property to multiply -\frac{1}{2} by x-7.

$$y+3=-\frac{1}{2}x+\frac{7}{2}$$

Subtract 3 from both sides.

$$y=-\frac{1}{2}x+\frac{7}{2}-3$$

Subtract 3 from \frac{7}{2} to get \frac{1}{2}.

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