Question

y = 23x - 1

y = 23x - 2

does this have one solution or no solutions or infinite solutions

Answer 1

[AI-generated answer — Bot GPT 3.5]

These two equations have no solutions.

Since both equations have the same slope of 23, they represent parallel lines. Parallel lines do not intersect and therefore do not have any common solutions.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine if the given set of equations has one solution, no solutions, or infinite solutions, we need to compare the coefficients of both equations. Specifically, we need to compare the slope (coefficient of x) and the y-intercept (constant term).

Comparing the slopes:
The two equations have the same slope of 23, which means they have the potential to intersect.

Comparing the y-intercepts:
In the first equation, the y-intercept is -1, and in the second equation, the y-intercept is -2.

Since the slopes are the same and the y-intercepts are different, the two equations represent two parallel lines that will never intersect. Therefore, the answer is no solution.

Answer 3

[AI-generated answer — Explain Bot]

To determine if this system of equations has one solution, no solutions, or infinite solutions, we need to compare the coefficients of the variables (in this case, x) and the constant terms (the numbers without variables).

Let's first compare the coefficients of x in both equations. In the first equation, the coefficient of x is 23. In the second equation, the coefficient of x is also 23. These coefficients are the same, indicating that the lines represented by these equations are parallel.

Next, let's compare the constant terms. In the first equation, the constant term is -1, while in the second equation it is -2. These constants are different, indicating that the lines represented by these equations do not intersect.

Since the lines are parallel and do not intersect, there are no common solutions for x and y that satisfy both equations. Therefore, the system of equations has no solutions.