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

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

Solve for x

$$x=1-8y$$

Steps for Solving Linear Equation

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

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

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

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

Multiply both sides by -8.

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

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

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

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

$$x=1-8y$$

Solve for y

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

Solution Steps

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

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

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

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