Solve 1/2x-1/8y=2

$$\frac { 1 } { 2 } x - \frac { 1 } { 8 } y = 2$$

Solve for x

$$x=\frac{y+16}{4}$$

Steps for Solving Linear Equation

Add \frac{1}{8}y to both sides.

$$\frac{1}{2}x=2+\frac{1}{8}y$$

The equation is in standard form.

$$\frac{1}{2}x=\frac{y}{8}+2$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{\frac{y}{8}+2}{\frac{1}{2}}$$

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

$$x=\frac{\frac{y}{8}+2}{\frac{1}{2}}$$

Divide 2+\frac{y}{8} by \frac{1}{2} by multiplying 2+\frac{y}{8} by the reciprocal of \frac{1}{2}.

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

Solve for y

$$y=4\left(x-4\right)$$

Steps for Solving Linear Equation

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

$$-\frac{1}{8}y=2-\frac{1}{2}x$$

The equation is in standard form.

$$-\frac{1}{8}y=-\frac{x}{2}+2$$

Multiply both sides by -8.

$$\frac{-\frac{1}{8}y}{-\frac{1}{8}}=\frac{-\frac{x}{2}+2}{-\frac{1}{8}}$$

Dividing by -\frac{1}{8} undoes the multiplication by -\frac{1}{8}.

$$y=\frac{-\frac{x}{2}+2}{-\frac{1}{8}}$$

Divide 2-\frac{x}{2} by -\frac{1}{8} by multiplying 2-\frac{x}{2} by the reciprocal of -\frac{1}{8}.

$$y=4x-16$$