Solve y=-9/7x-6/7

$$y = \frac { - 9 } { 7 } x - \frac { 6 } { 7 }$$

Solve for x

$$x=-\frac{7y}{9}-\frac{2}{3}$$

Steps for Solving Linear Equation

Fraction \frac{-9}{7} can be rewritten as -\frac{9}{7} by extracting the negative sign.

$$y=-\frac{9}{7}x-\frac{6}{7}$$

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

$$-\frac{9}{7}x-\frac{6}{7}=y$$

Add \frac{6}{7} to both sides.

$$-\frac{9}{7}x=y+\frac{6}{7}$$

Divide both sides of the equation by -\frac{9}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{9}{7}x}{-\frac{9}{7}}=\frac{y+\frac{6}{7}}{-\frac{9}{7}}$$

Dividing by -\frac{9}{7} undoes the multiplication by -\frac{9}{7}.

$$x=\frac{y+\frac{6}{7}}{-\frac{9}{7}}$$

Divide y+\frac{6}{7} by -\frac{9}{7} by multiplying y+\frac{6}{7} by the reciprocal of -\frac{9}{7}.

$$x=-\frac{7y}{9}-\frac{2}{3}$$

Solve for y

$$y=\frac{-9x-6}{7}$$

Solution Steps

Fraction \frac{-9}{7} can be rewritten as -\frac{9}{7} by extracting the negative sign.

$$y=-\frac{9}{7}x-\frac{6}{7}$$