Solve 4/6=p+9/5

$$\frac { 4 } { 6 } = \frac { p + 9 } { 5 }$$

Solve for p

$$p = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5.

$$5\times 4=6\left(p+9\right)$$

Multiply 5 and 4 to get 20.

$$20=6\left(p+9\right)$$

Use the distributive property to multiply 6 by p+9.

$$20=6p+54$$

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

$$6p+54=20$$

Subtract 54 from both sides.

$$6p=20-54$$

Subtract 54 from 20 to get -34.

$$6p=-34$$

Divide both sides by 6.

$$p=\frac{-34}{6}$$

Reduce the fraction \frac{-34}{6} to lowest terms by extracting and canceling out 2.

$$p=-\frac{17}{3}$$