Solve -9x+4y=72

$$- 9 x + 4 y = 72$$

Solve for x

$$x=\frac{4\left(y-18\right)}{9}$$

Steps for Solving Linear Equation

Subtract 4y from both sides.

$$-9x=72-4y$$

Divide both sides by -9.

$$\frac{-9x}{-9}=\frac{72-4y}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$x=\frac{72-4y}{-9}$$

Divide 72-4y by -9.

$$x=\frac{4y}{9}-8$$

Solve for y

$$y=\frac{9\left(x+8\right)}{4}$$

Steps for Solving Linear Equation

Add 9x to both sides.

$$4y=72+9x$$

The equation is in standard form.

$$4y=9x+72$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{9x+72}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{9x+72}{4}$$

Divide 72+9x by 4.

$$y=\frac{9x}{4}+18$$