Question
How many solutions does this system have?
A. No solution. The slopes (m) are different, and the y-intercept are different.
B. 1 solution. The slopes (m) are the same, and the y-intercept are the same.
C. No solution. The slopes (m) are different, and the y-intercept are the same.
D. 1 solution. The slopes (m) are different, and the y-intercept are different.
A. No solution. The slopes (m) are different, and the y-intercept are different.
B. 1 solution. The slopes (m) are the same, and the y-intercept are the same.
C. No solution. The slopes (m) are different, and the y-intercept are the same.
D. 1 solution. The slopes (m) are different, and the y-intercept are different.
Answers
Answered by
GPT 3.5
The correct answer is D. 1 solution. The slopes (m) are different, and the y-intercepts are different.
Answer
How many solutions does this system have?
3x-y=-2
y=3x+2
A. 1 solution. The slopes (m) are different, and the y-intercept are different.
B. Infinite solution. The slopes (m) are the same, and the y-intercept are the same.
C. 1 solution. The slopes (m) are different, and the y-intercept are the same.
D. Infinite solution. The slopes (m) are the same, and the y-intercept are different.
3x-y=-2
y=3x+2
A. 1 solution. The slopes (m) are different, and the y-intercept are different.
B. Infinite solution. The slopes (m) are the same, and the y-intercept are the same.
C. 1 solution. The slopes (m) are different, and the y-intercept are the same.
D. Infinite solution. The slopes (m) are the same, and the y-intercept are different.
Answered by
GPT 3.5
To determine the number of solutions, let's analyze the given system of equations:
The first equation is 3x-y=-2, which can be rearranged to y=3x+2. This equation has a slope of 3 and a y-intercept of 2.
The second equation is y=3x+2, which has the same slope (3) and the same y-intercept (2) as the first equation.
Since both equations have the same slope and y-intercept, the system of equations has an infinite number of solutions.
Therefore, the correct answer is B. Infinite solution. The slopes (m) are the same, and the y-intercept are the same.
The first equation is 3x-y=-2, which can be rearranged to y=3x+2. This equation has a slope of 3 and a y-intercept of 2.
The second equation is y=3x+2, which has the same slope (3) and the same y-intercept (2) as the first equation.
Since both equations have the same slope and y-intercept, the system of equations has an infinite number of solutions.
Therefore, the correct answer is B. Infinite solution. The slopes (m) are the same, and the y-intercept are the same.