Solve 4x-5+9y=x-3

$$4 x - 5 + 9 y = x - 3$$

Solve for x

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

Steps for Solving Linear Equation

Subtract x from both sides.

$$4x-5+9y-x=-3$$

Combine 4x and -x to get 3x.

$$3x-5+9y=-3$$

Add 5 to both sides.

$$3x+9y=-3+5$$

Add -3 and 5 to get 2.

$$3x+9y=2$$

Subtract 9y from both sides.

$$3x=2-9y$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Divide 2-9y by 3.

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

Solve for y

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

Steps for Solving Linear Equation

Subtract 4x from both sides.

$$-5+9y=x-3-4x$$

Combine x and -4x to get -3x.

$$-5+9y=-3x-3$$

Add 5 to both sides.

$$9y=-3x-3+5$$

Add -3 and 5 to get 2.

$$9y=-3x+2$$

The equation is in standard form.

$$9y=2-3x$$

Divide both sides by 9.

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

Dividing by 9 undoes the multiplication by 9.

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

Divide -3x+2 by 9.

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