Solve 6x+9+5y=x-4

$$6 x + 9 + 5 y = x - 4$$

Solve for x

$$x=-y-\frac{13}{5}$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$6x+9+5y-x=-4$$

Combine 6x and -x to get 5x.

$$5x+9+5y=-4$$

Subtract 9 from both sides.

$$5x+5y=-4-9$$

Subtract 9 from -4 to get -13.

$$5x+5y=-13$$

Subtract 5y from both sides.

$$5x=-13-5y$$

The equation is in standard form.

$$5x=-5y-13$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{-5y-13}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{-5y-13}{5}$$

Divide -13-5y by 5.

$$x=-y-\frac{13}{5}$$

Solve for y

$$y=-x-\frac{13}{5}$$

Steps for Solving Linear Equation

Subtract 6x from both sides.

$$9+5y=x-4-6x$$

Combine x and -6x to get -5x.

$$9+5y=-5x-4$$

Subtract 9 from both sides.

$$5y=-5x-4-9$$

Subtract 9 from -4 to get -13.

$$5y=-5x-13$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{-5x-13}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{-5x-13}{5}$$

Divide -5x-13 by 5.

$$y=-x-\frac{13}{5}$$