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]

the first step is to substitute [tex]$6$[/tex] in place of [tex]$x$[/tex]. Here is a step-by-step explanation:

1. Start with the equation:

[tex]$$
3x = 18.
$$[/tex]

2. Replace [tex]$x$[/tex] with [tex]$6$[/tex]:

[tex]$$
3(6) = 18.
$$[/tex]

3. This substitution allows us to check whether the left-hand side equals the right-hand side.

Thus, the first step is to substitute [tex]$6$[/tex] for [tex]$x$[/tex] in the equation.