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

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

Solve for x

$$x=-2y-9$$

Steps for Solving Linear Equation

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

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

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

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

Add \frac{7}{2} to both sides.

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

Add 1 and \frac{7}{2} to get \frac{9}{2}.

$$-\frac{1}{2}x=y+\frac{9}{2}$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{y+\frac{9}{2}}{-\frac{1}{2}}$$

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

$$x=\frac{y+\frac{9}{2}}{-\frac{1}{2}}$$

Divide y+\frac{9}{2} by -\frac{1}{2} by multiplying y+\frac{9}{2} by the reciprocal of -\frac{1}{2}.

$$x=-2y-9$$

Solve for y

$$y=\frac{-x-9}{2}$$

Solution Steps

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

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

Subtract 1 from both sides.

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

Subtract 1 from -\frac{7}{2} to get -\frac{9}{2}.

$$y=-\frac{1}{2}x-\frac{9}{2}$$