College

What is the first step in determining if 6 is a solution to [tex]3x = 18[/tex]?



A. Substitute 6 for [tex]x[/tex] in the equation.

B. Rewrite [tex]3x[/tex] as 36.

C. Multiply 3 and 18.

D. Divide 6 by 3.

Answer :

To determine whether $6$ is a solution to the equation
$$3x = 18,$$
the very first step is to substitute $6$ for $x$.

Here is a step-by-step explanation:

1. **Substitute $6$ for $x$:**
Replace $x$ with $6$ in the equation. This gives:
$$3(6) = 18.$$

2. **Compute the left-hand side:**
Calculate $3 \times 6$:
$$18 = 18.$$

3. **Verify the equality:**
Since both sides of the equation are equal (i.e., $18 = 18$), $6$ is indeed a solution.

Thus, the first step is to substitute $6$ for $x$ in the equation.