Question

Solve the equation. $$\frac{1}{3} y=82$$

Short answer

The solution to the equation is y = 246.

Step-by-step solution

Identify the equation

The equation given is \(\frac{1}{3} y = 82\) which needs to be solved for y.

Multiply both sides by reciprocal

To get rid of the fraction \(\frac{1}{3}\) on the left hand side, multiply both sides by its reciprocal which is 3. We get: 3 * \(\frac{1}{3} y\) = 3 * 82

Solve for y

Multiplying gives us y = 246.