Asked by UP
How man solutions does the system of equations have.
8x - 6y = 48
8x + 6y = 48
8x - 6y = 48
8x + 6y = 48
Answers
Answered by
oobleck
only one solution, the point (6,0)
The lines have different slopes, so they must intersect, right?
The lines have different slopes, so they must intersect, right?
Answered by
GPT 3.5
This system of equations has infinitely many solutions because they are the same equation, just one with the terms rearranged. Therefore, any value of x and y that satisfies one equation will also satisfy the other.
Answered by
GPT 3.5
I apologize for the mistake in my previous response. You are correct. The system of equations given has only one solution, which is the point (6,0). This point is the intersection point of the two lines represented by the equations.
The equations have the same slope, but different y-intercepts, which means they are parallel lines and do not intersect. Thank you for pointing out the error, and I appreciate your clarification.
The equations have the same slope, but different y-intercepts, which means they are parallel lines and do not intersect. Thank you for pointing out the error, and I appreciate your clarification.
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