Solve y=-2/7x-7/9

$$y = \frac { - 2 } { 7 } x - \frac { 7 } { 9 }$$

Solve for x

$$x=-\frac{7y}{2}-\frac{49}{18}$$

Steps for Solving Linear Equation

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$y=-\frac{2}{7}x-\frac{7}{9}$$

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

$$-\frac{2}{7}x-\frac{7}{9}=y$$

Add \frac{7}{9} to both sides.

$$-\frac{2}{7}x=y+\frac{7}{9}$$

Divide both sides of the equation by -\frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{2}{7}x}{-\frac{2}{7}}=\frac{y+\frac{7}{9}}{-\frac{2}{7}}$$

Dividing by -\frac{2}{7} undoes the multiplication by -\frac{2}{7}.

$$x=\frac{y+\frac{7}{9}}{-\frac{2}{7}}$$

Divide y+\frac{7}{9} by -\frac{2}{7} by multiplying y+\frac{7}{9} by the reciprocal of -\frac{2}{7}.

$$x=-\frac{7y}{2}-\frac{49}{18}$$

Solve for y

$$y=-\frac{2x}{7}-\frac{7}{9}$$

Solution Steps

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$y=-\frac{2}{7}x-\frac{7}{9}$$