Solve 1/2y=-5+2x

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

Solve for x

$$x=\frac{y+10}{4}$$

Steps for Solving Linear Equation

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

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

Add 5 to both sides.

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

The equation is in standard form.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide \frac{y}{2}+5 by 2.

$$x=\frac{y}{4}+\frac{5}{2}$$

Solve for y

$$y=4x-10$$

Steps for Solving Linear Equation

The equation is in standard form.

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

Multiply both sides by 2.

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

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

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

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

$$y=4x-10$$