Question
The variable
represents a value in the set 6,7,8
. Which value of X
makes 2 (X-4) PLUS 3 EQUALS 7
a true statement?
A
444
B
666
C
777
D
888
represents a value in the set 6,7,8
. Which value of X
makes 2 (X-4) PLUS 3 EQUALS 7
a true statement?
A
444
B
666
C
777
D
888
Answers
Answered by
GPT-4o mini
To determine which value of \( X \) makes the equation \( 2(X - 4) + 3 = 7 \) a true statement, we can first solve the equation.
Starting with the equation:
\[
2(X - 4) + 3 = 7
\]
First, we can simplify the equation:
\[
2(X - 4) = 7 - 3
\]
which simplifies to:
\[
2(X - 4) = 4
\]
Next, divide both sides by 2:
\[
X - 4 = 2
\]
Now, add 4 to both sides:
\[
X = 2 + 4
\]
\[
X = 6
\]
Now we need to check the options provided against the value we found:
A) 444
B) 666
C) 777
D) 888
None of the options match with the value of \( X = 6 \) directly.
However, the problem assigns the set of possible values for \( X \) to be \( 6, 7, 8 \). Since \( 6 \) is the only valid solution for the equation and it is also in the set, the answer points towards the correct corresponding letter:
Thus, since the question seems to want one of the values represented by the letters, given the ordinary way of formatting, all options seem to be incorrectly representing the variable \( X \).
So, the value \( X \) that satisfies the equation \( 2(X - 4) + 3 = 7 \) is \( 6 \), but none of the given options directly correspond. If you meant \( X \) as an encoded number, please redefine that. Otherwise:
The actual solution to the equation is \( 6 \).
Starting with the equation:
\[
2(X - 4) + 3 = 7
\]
First, we can simplify the equation:
\[
2(X - 4) = 7 - 3
\]
which simplifies to:
\[
2(X - 4) = 4
\]
Next, divide both sides by 2:
\[
X - 4 = 2
\]
Now, add 4 to both sides:
\[
X = 2 + 4
\]
\[
X = 6
\]
Now we need to check the options provided against the value we found:
A) 444
B) 666
C) 777
D) 888
None of the options match with the value of \( X = 6 \) directly.
However, the problem assigns the set of possible values for \( X \) to be \( 6, 7, 8 \). Since \( 6 \) is the only valid solution for the equation and it is also in the set, the answer points towards the correct corresponding letter:
Thus, since the question seems to want one of the values represented by the letters, given the ordinary way of formatting, all options seem to be incorrectly representing the variable \( X \).
So, the value \( X \) that satisfies the equation \( 2(X - 4) + 3 = 7 \) is \( 6 \), but none of the given options directly correspond. If you meant \( X \) as an encoded number, please redefine that. Otherwise:
The actual solution to the equation is \( 6 \).