Solve y=-6/5x-6/5

$$y = \frac{ -6 }{ 5 } x- \frac{ 6 }{ 5 }$$

Solve for x

$$x=-\frac{5y}{6}-1$$

Steps for Solving Linear Equation

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$y=-\frac{6}{5}x-\frac{6}{5}$$

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

$$-\frac{6}{5}x-\frac{6}{5}=y$$

Add \frac{6}{5} to both sides.

$$-\frac{6}{5}x=y+\frac{6}{5}$$

Divide both sides of the equation by -\frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{6}{5}x}{-\frac{6}{5}}=\frac{y+\frac{6}{5}}{-\frac{6}{5}}$$

Dividing by -\frac{6}{5} undoes the multiplication by -\frac{6}{5}.

$$x=\frac{y+\frac{6}{5}}{-\frac{6}{5}}$$

Divide y+\frac{6}{5} by -\frac{6}{5} by multiplying y+\frac{6}{5} by the reciprocal of -\frac{6}{5}.

$$x=-\frac{5y}{6}-1$$

Solve for y

$$y=\frac{-6x-6}{5}$$

Solution Steps

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$y=-\frac{6}{5}x-\frac{6}{5}$$