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If [tex]5c - 2 = 3c[/tex], then [tex]24c =[/tex]

A. 6
B. 8
C. 16
D. 24

Sagot :

GinnyAnsweridn
Sure, let’s solve the equation step by step.

We start with the given equation:

[tex]\[ 5c - 2 = 3c \][/tex]

Our goal is to solve for [tex]\(c\)[/tex].

1. First, move all the terms involving [tex]\(c\)[/tex] to one side of the equation and the constant term to the other side. To do this, subtract [tex]\(3c\)[/tex] from both sides:

[tex]\[ 5c - 3c - 2 = 0 \][/tex]

2. Simplify the equation:

[tex]\[ 2c - 2 = 0 \][/tex]

3. Next, add 2 to both sides to isolate the term with [tex]\(c\)[/tex]:

[tex]\[ 2c = 2 \][/tex]

4. Finally, divide both sides by 2 to solve for [tex]\(c\)[/tex]:

[tex]\[ c = 1 \][/tex]

Now that we have [tex]\(c = 1\)[/tex], we need to find the value of [tex]\(24c\)[/tex].

5. Substitute [tex]\(c = 1\)[/tex] into the expression [tex]\(24c\)[/tex]:

[tex]\[ 24c = 24 \times 1 \][/tex]

6. Simplify:

[tex]\[ 24c = 24 \][/tex]

Therefore, the correct answer is:

D. 24
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