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

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


Sagot :

Sure, let's solve the equation step-by-step to find the value of [tex]\( c \)[/tex] and subsequently determine [tex]\( 24c \)[/tex].

The given equation is:
[tex]\[ 5c - 2 = 3c \][/tex]

First, we want to isolate the terms involving [tex]\( c \)[/tex] on one side of the equation.

Step 1: Subtract [tex]\( 3c \)[/tex] from both sides of the equation to start isolating [tex]\( c \)[/tex]:
[tex]\[ 5c - 2 - 3c = 3c - 3c \][/tex]

This simplifies to:
[tex]\[ 2c - 2 = 0 \][/tex]

Step 2: Add 2 to both sides of the equation to further isolate [tex]\( c \)[/tex]:
[tex]\[ 2c - 2 + 2 = 0 + 2 \][/tex]

This results in:
[tex]\[ 2c = 2 \][/tex]

Step 3: Divide both sides of the equation by 2 to solve for [tex]\( c \)[/tex]:
[tex]\[ \frac{2c}{2} = \frac{2}{2} \][/tex]

This simplifies to:
[tex]\[ c = 1 \][/tex]

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

Therefore, the value of [tex]\( 24c \)[/tex] is:
[tex]\[ 24 \][/tex]

So, given the choices, the correct answer is:
[tex]\[ 24 \][/tex]
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