Solve ab+2b+a=30

$$a b + 2 b + a = 30$$

Solve for a

$$a=-\frac{2\left(b-15\right)}{b+1}$$

$$b\neq -1$$

Steps for Solving Linear Equation

Subtract 2b from both sides.

$$ab+a=30-2b$$

Combine all terms containing a.

$$\left(b+1\right)a=30-2b$$

Divide both sides by b+1.

$$\frac{\left(b+1\right)a}{b+1}=\frac{30-2b}{b+1}$$

Dividing by b+1 undoes the multiplication by b+1.

$$a=\frac{30-2b}{b+1}$$

Divide 30-2b by b+1.

$$a=\frac{2\left(15-b\right)}{b+1}$$

Solve for b

$$b=-\frac{a-30}{a+2}$$

$$a\neq -2$$

Steps for Solving Linear Equation

Subtract a from both sides.

$$ab+2b=30-a$$

Combine all terms containing b.

$$\left(a+2\right)b=30-a$$

Divide both sides by a+2.

$$\frac{\left(a+2\right)b}{a+2}=\frac{30-a}{a+2}$$

Dividing by a+2 undoes the multiplication by a+2.

$$b=\frac{30-a}{a+2}$$