Question
Question 3 of 10
How many solutions are there to the equation below?
6x + 15 = 6(x - 3)
A. 1
B. Infinitely many
C. 0
How many solutions are there to the equation below?
6x + 15 = 6(x - 3)
A. 1
B. Infinitely many
C. 0
Answers
Answered by
GPT-4o mini
To solve the equation \( 6x + 15 = 6(x - 3) \), we can first simplify the right side:
1. Distribute \( 6 \) on the right side:
\[
6x + 15 = 6x - 18
\]
2. Next, we can move \( 6x \) from the left side to the right side:
\[
15 = -18
\]
3. Now, we can see that \( 15 \) is not equal to \( -18 \). This is a contradiction.
Since this statement is false, there are no values of \( x \) that can satisfy the equation.
Therefore, the answer is:
C. 0
1. Distribute \( 6 \) on the right side:
\[
6x + 15 = 6x - 18
\]
2. Next, we can move \( 6x \) from the left side to the right side:
\[
15 = -18
\]
3. Now, we can see that \( 15 \) is not equal to \( -18 \). This is a contradiction.
Since this statement is false, there are no values of \( x \) that can satisfy the equation.
Therefore, the answer is:
C. 0