Problem 49 - Introductory Algebra for College Students

Question

Determine whether the given number is a solution of the equation. $$\frac{r}{6}=8 ; 48$$

Step-by-Step Solution

Answer

Yes, 48 is a solution to the given equation.

Step 1: Understand the equation

The equation is telling us that \( r \) divided by 6 is equal to 8.

Step 2: Calculate the value of \( r \) according to the equation

To find the value of \( r \) we need to multiply both sides of equation by 6. This will give us \( r = 8 \times 6 = 48 \).

Step 3: Compare the calculated value with the given value

Now compare \( r = 48 \) with the given number, which is also 48. Since they match, the given number 48 is indeed a solution to the equation.