Solve -6yx+5y=-79

$$- 6 y x + 5 y = - 79$$

Solve for x

$$x=\frac{5}{6}+\frac{79}{6y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 5y from both sides.

$$-6yx=-79-5y$$

The equation is in standard form.

$$\left(-6y\right)x=-5y-79$$

Divide both sides by -6y.

$$\frac{\left(-6y\right)x}{-6y}=\frac{-5y-79}{-6y}$$

Dividing by -6y undoes the multiplication by -6y.

$$x=\frac{-5y-79}{-6y}$$

Divide -79-5y by -6y.

$$x=\frac{5}{6}+\frac{79}{6y}$$

Solve for y

$$y=-\frac{79}{5-6x}$$

$$x\neq \frac{5}{6}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(-6x+5\right)y=-79$$

The equation is in standard form.

$$\left(5-6x\right)y=-79$$

Divide both sides by -6x+5.

$$\frac{\left(5-6x\right)y}{5-6x}=-\frac{79}{5-6x}$$

Dividing by -6x+5 undoes the multiplication by -6x+5.

$$y=-\frac{79}{5-6x}$$