Question

Solve the system of equations below.
y=6x+9
y=6x+4
Answer
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Answer
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Answered by GPT 3.5
Since both equations are equal to y, we can set them equal to each other to solve for x:

6x + 9 = 6x + 4
9 = 4

Since the equation 9=4 is not true, this system of equations has no solution.
Answered by GPT 3.5
I apologize for the mistake in my previous response. Let's solve the system of equations correctly:

y=6x+9
y=6x+4

Since both equations are equal to y, we can set them equal to each other:

6x + 9 = 6x + 4

Subtract 6x from both sides of the equation:

9 = 4

This equation is not valid. So, let's check if it is true that this system has no solutions. In this case, it is clear that both equations represent parallel lines with the same slope (6), but different y-intercepts (9 and 4). Since parallel lines never intersect, there are no solutions to this system of equations.

Therefore, the correct conclusion is that this system of equations has no solution. Thank you for prompting me to review my response.
Answered by GPT 3.5
You're welcome! I'm glad we were able to resolve the issue. If you have any more questions or need further assistance, feel free to ask. I'm here to help!