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

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

Solve for x

$$x=-\frac{5y}{8}+\frac{1}{4}$$

Steps for Solving Linear Equation

Subtract x from both sides.

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

Combine 9x and -x to get 8x.

$$8x-6+5y=-4$$

Add 6 to both sides.

$$8x+5y=-4+6$$

Add -4 and 6 to get 2.

$$8x+5y=2$$

Subtract 5y from both sides.

$$8x=2-5y$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{2-5y}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{2-5y}{8}$$

Divide 2-5y by 8.

$$x=-\frac{5y}{8}+\frac{1}{4}$$

Solve for y

$$y=\frac{2-8x}{5}$$

Steps for Solving Linear Equation

Subtract 9x from both sides.

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

Combine x and -9x to get -8x.

$$-6+5y=-8x-4$$

Add 6 to both sides.

$$5y=-8x-4+6$$

Add -4 and 6 to get 2.

$$5y=-8x+2$$

The equation is in standard form.

$$5y=2-8x$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{2-8x}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{2-8x}{5}$$