Solve 3+p/a=3

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

Solve for a

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

$$p\neq -3$$

Steps for Solving Linear Equation

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

$$3+p=3a$$

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

$$3a=3+p$$

The equation is in standard form.

$$3a=p+3$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Divide 3+p by 3.

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

Variable a cannot be equal to 0.

$$a=\frac{p}{3}+1\text{, }a\neq 0$$

Solve for p

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

$$a\neq 0$$

Solution Steps

Multiply both sides of the equation by a.

$$3+p=3a$$

Subtract 3 from both sides.

$$p=3a-3$$