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 if [tex]$6$[/tex] is a solution to the equation
[tex]$$
3x = 18,
$$[/tex]
we start by substituting [tex]$6$[/tex] for [tex]$x$[/tex]. This is because a solution must satisfy the equation when the variable is replaced by the given value.

Step-by-step:

1. Substitute [tex]$x = 6$[/tex] into the equation:
[tex]$$
3 \times 6 = 18.
$$[/tex]

2. This substitution allows us to verify if the left-hand side equals the right-hand side.

Since the first step is to substitute [tex]$6$[/tex] for [tex]$x$[/tex], the correct answer is:

[tex]$$
\text{Substitute 6 for } x \text{ in the equation.}
$$[/tex]