If \frac{3}{5}p - 4 = 8, what is the value of p? — SAT

If $\frac{3}{5}p - 4 = 8$ , what is the value of $p$ ?

Answer: 20

To solve the equation

\frac{3}{5}p - 4 = 8

, we perform inverse operations to isolate

p

. First, add 4 to both sides of the equation to get

\frac{3}{5}p = 12

. Next, multiply both sides by the reciprocal of the coefficient of

p

, which is

\frac{5}{3}

. This gives

p = 12 \times \frac{5}{3} = 20

. Substituting 20 back into the original equation confirms it is the correct solution.

Add 4 to both sides of the equation.

\frac{3}{5}p = 12

To isolate the term containing the variable

p

Multiply both sides of the equation by

\frac{5}{3}

p = 20

To solve for

p

by multiplying by the reciprocal of its coefficient.

Solving one-variable linear equations using inverse operations.

Question