Solve 9-5h-4k/h=2

$$\frac { 9 - 5 h - 4 k } { h } = 2$$

Solve for h

$$h=\frac{9-4k}{7}$$

$$k\neq \frac{9}{4}$$

Steps for Solving Linear Equation

Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by h.

$$9-5h-4k=2h$$

Subtract 2h from both sides.

$$9-5h-4k-2h=0$$

Combine -5h and -2h to get -7h.

$$9-7h-4k=0$$

Subtract 9 from both sides. Anything subtracted from zero gives its negation.

$$-7h-4k=-9$$

Add 4k to both sides.

$$-7h=-9+4k$$

The equation is in standard form.

$$-7h=4k-9$$

Divide both sides by -7.

$$\frac{-7h}{-7}=\frac{4k-9}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$h=\frac{4k-9}{-7}$$

Divide -9+4k by -7.

$$h=\frac{9-4k}{7}$$

Variable h cannot be equal to 0.

$$h=\frac{9-4k}{7}\text{, }h\neq 0$$

Solve for k

$$k=\frac{9-7h}{4}$$

$$h\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by h.

$$9-5h-4k=2h$$

Subtract 9 from both sides.

$$-5h-4k=2h-9$$

Add 5h to both sides.

$$-4k=2h-9+5h$$

Combine 2h and 5h to get 7h.

$$-4k=7h-9$$

Divide both sides by -4.

$$\frac{-4k}{-4}=\frac{7h-9}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$k=\frac{7h-9}{-4}$$

Divide 7h-9 by -4.

$$k=\frac{9-7h}{4}$$