Solve y=-1/2x-1/2-5

$$y=- \frac{ 1 }{ 2 } x- \frac{ 1 }{ 2 } -5$$

Solve for x

$$x=-2y-11$$

Steps for Solving Linear Equation

Subtract 5 from -\frac{1}{2} to get -\frac{11}{2}.

$$y=-\frac{1}{2}x-\frac{11}{2}$$

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

$$-\frac{1}{2}x-\frac{11}{2}=y$$

Add \frac{11}{2} to both sides.

$$-\frac{1}{2}x=y+\frac{11}{2}$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}x}{-\frac{1}{2}}=\frac{y+\frac{11}{2}}{-\frac{1}{2}}$$

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

$$x=\frac{y+\frac{11}{2}}{-\frac{1}{2}}$$

Divide y+\frac{11}{2} by -\frac{1}{2} by multiplying y+\frac{11}{2} by the reciprocal of -\frac{1}{2}.

$$x=-2y-11$$

Solve for y

$$y=\frac{-x-11}{2}$$

Solution Steps

Subtract 5 from -\frac{1}{2} to get -\frac{11}{2}.

$$y=-\frac{1}{2}x-\frac{11}{2}$$