Solve x=-1-5y/2

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

Solve for y

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

Steps for Solving Linear Equation

Divide each term of -1-5y by 2 to get -\frac{1}{2}-\frac{5}{2}y.

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

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

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

Add \frac{1}{2} to both sides.

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

Divide both sides of the equation by -\frac{5}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by -\frac{5}{2} undoes the multiplication by -\frac{5}{2}.

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

Divide x+\frac{1}{2} by -\frac{5}{2} by multiplying x+\frac{1}{2} by the reciprocal of -\frac{5}{2}.

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

Solve for x

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

Solution Steps

Divide each term of -1-5y by 2 to get -\frac{1}{2}-\frac{5}{2}y.

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