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

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

Solve for x

$$x=-2y-4$$

Steps for Solving Linear Equation

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

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

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

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

Add 1 to both sides.

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

Add 1 and 1 to get 2.

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

Multiply both sides by -2.

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

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

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

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

$$x=-2y-4$$

Solve for y

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

Solution Steps

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

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

Subtract 1 from both sides.

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

Subtract 1 from -1 to get -2.

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