Question

"Peter stated that there is no solution to the equation 3(x + 5) = 3x + 5. Do you agree or disagree? Explain your reasoning."

Do you agree with Peter's statement about the equation 3(x + 5) = 3x + 5?

a) I agree because it has no solution.
b) I disagree because there is a solution.
c) I agree, but I don't know why.
d) I disagree, but I don't know why.

Answer 1

I disagree with Peter's statement that there is no solution to the equation 3(x + 5) = 3x + 5. It has no solution.

Step-by-step explanation:

I disagree with Peter's statement that there is no solution to the equation 3(x + 5) = 3x + 5. In fact, there is a solution to this equation. Let's solve it step-by-step:

1. Start by distributing the 3 on the left side of the equation: 3x + 15 = 3x + 5
2. Next, simplify the equation by subtracting 3x from both sides: 15 = 5
3. When we simplify the equation, we see that 15 is not equal to 5. This means that the equation is inconsistent and has no solutions.

Therefore, the correct answer is option a) I agree because it has no solution.