Problem 92 - Introductory Algebra for College Students

Question

Determine whether the given number is a solution of the equation. $$\frac{5}{3} x=30 ; 18$$

Step-by-Step Solution

Answer

Yes, 18 is a solution to the given equation.

Step 1: Understand the problem

The problem is asking whether 18 is a solution to the equation \(\frac{5}{3}x=30\). This can be checked by substituting x=18 into the equation, and verifying if it holds true.

Step 2: Substitute x=18 into the equation

Substitute x=18 into the equation \(\frac{5}{3}x=30\). This gives us \(\frac{5}{3}*18 =30\). After simplifying the left side of the equation, we get 30.

Step 3: Check if the equation holds true

After the simplification, we have both sides of the equation equal to 30. Therefore, the equation holds, which means that 18 is indeed a solution to the given equation.