Solve h=4+3k/k+1+7

$$h = \frac { 4 + 3 k } { k + 1 } + 7$$

Solve for k

$$k=-\frac{11-h}{10-h}$$

$$h\neq 10$$

Steps for Solving Linear Equation

Variable k cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by k+1.

$$h\left(k+1\right)=4+3k+\left(k+1\right)\times 7$$

Use the distributive property to multiply h by k+1.

$$hk+h=4+3k+\left(k+1\right)\times 7$$

Use the distributive property to multiply k+1 by 7.

$$hk+h=4+3k+7k+7$$

Combine 3k and 7k to get 10k.

$$hk+h=4+10k+7$$

Add 4 and 7 to get 11.

$$hk+h=11+10k$$

Subtract 10k from both sides.

$$hk+h-10k=11$$

Subtract h from both sides.

$$hk-10k=11-h$$

Combine all terms containing k.

$$\left(h-10\right)k=11-h$$

Divide both sides by h-10.

$$\frac{\left(h-10\right)k}{h-10}=\frac{11-h}{h-10}$$

Dividing by h-10 undoes the multiplication by h-10.

$$k=\frac{11-h}{h-10}$$

Variable k cannot be equal to -1.

$$k=\frac{11-h}{h-10}\text{, }k\neq -1$$

Solve for h

$$h=\frac{10k+11}{k+1}$$

$$k\neq -1$$