Solve 7x-y-4=-6xy-8

$$7 x - y - 4 = - 6 x y - 8$$

Solve for x

$$x=-\frac{4-y}{6y+7}$$

$$y\neq -\frac{7}{6}$$

Steps for Solving Linear Equation

Add 6xy to both sides.

$$7x-y-4+6xy=-8$$

Add y to both sides.

$$7x-4+6xy=-8+y$$

Add 4 to both sides.

$$7x+6xy=-8+y+4$$

Add -8 and 4 to get -4.

$$7x+6xy=-4+y$$

Combine all terms containing x.

$$\left(7+6y\right)x=-4+y$$

The equation is in standard form.

$$\left(6y+7\right)x=y-4$$

Divide both sides by 6y+7.

$$\frac{\left(6y+7\right)x}{6y+7}=\frac{y-4}{6y+7}$$

Dividing by 6y+7 undoes the multiplication by 6y+7.

$$x=\frac{y-4}{6y+7}$$

Solve for y

$$y=-\frac{7x+4}{6x-1}$$

$$x\neq \frac{1}{6}$$

Steps for Solving Linear Equation

Add 6xy to both sides.

$$7x-y-4+6xy=-8$$

Subtract 7x from both sides.

$$-y-4+6xy=-8-7x$$

Add 4 to both sides.

$$-y+6xy=-8-7x+4$$

Add -8 and 4 to get -4.

$$-y+6xy=-4-7x$$

Combine all terms containing y.

$$\left(-1+6x\right)y=-4-7x$$

The equation is in standard form.

$$\left(6x-1\right)y=-7x-4$$

Divide both sides by -1+6x.

$$\frac{\left(6x-1\right)y}{6x-1}=\frac{-7x-4}{6x-1}$$

Dividing by -1+6x undoes the multiplication by -1+6x.

$$y=\frac{-7x-4}{6x-1}$$

Divide -4-7x by -1+6x.

$$y=-\frac{7x+4}{6x-1}$$