Solve x+1/2y=-1

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

Solve for y

$$y=-2x-2$$

Steps for Solving Linear Equation

Subtract x from both sides.

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

The equation is in standard form.

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

Multiply both sides by 2.

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

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

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

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

$$y=-2x-2$$

Solve for x

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

Solution Steps

Subtract \frac{1}{2}y from both sides.

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