Solve 2x+1/2y=4

$$2 x + \frac { 1 } { 2 } y = 4$$

Solve for x

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

Steps for Solving Linear Equation

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

$$2x=4-\frac{1}{2}y$$

The equation is in standard form.

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

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 4-\frac{y}{2} by 2.

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

Solve for y

$$y=8-4x$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$\frac{1}{2}y=4-2x$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{4-2x}{\frac{1}{2}}$$

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

$$y=\frac{4-2x}{\frac{1}{2}}$$

Divide 4-2x by \frac{1}{2} by multiplying 4-2x by the reciprocal of \frac{1}{2}.

$$y=8-4x$$