Solve a:p=(a+3)

$$a : p = ( a + 3 )$$

Solve for a

$$a=\frac{3p}{1-p}$$

$$p\neq 1\text{ and }p\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$a=pa+p\times 3$$

Subtract pa from both sides.

$$a-pa=p\times 3$$

Combine all terms containing a.

$$\left(1-p\right)a=p\times 3$$

The equation is in standard form.

$$\left(1-p\right)a=3p$$

Divide both sides by -p+1.

$$\frac{\left(1-p\right)a}{1-p}=\frac{3p}{1-p}$$

Dividing by -p+1 undoes the multiplication by -p+1.

$$a=\frac{3p}{1-p}$$

Solve for p

$$p=\frac{a}{a+3}$$

$$a\neq 0\text{ and }a\neq -3$$

Steps for Solving Linear Equation

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

$$a=pa+p\times 3$$

Swap sides so that all variable terms are on the left hand side.

$$pa+p\times 3=a$$

Combine all terms containing p.

$$\left(a+3\right)p=a$$

Divide both sides by a+3.

$$\frac{\left(a+3\right)p}{a+3}=\frac{a}{a+3}$$

Dividing by a+3 undoes the multiplication by a+3.

$$p=\frac{a}{a+3}$$

Variable p cannot be equal to 0.

$$p=\frac{a}{a+3}\text{, }p\neq 0$$