Determine the number of solutions to this system of linear equations: y=7x−3 y=7x+3 (1 point) Responses 1 1 infinite infinite 0 0 2

Answer 1

To determine the number of solutions to the system of equations given by:

1. \( y = 7x - 3 \)
2. \( y = 7x + 3 \)

we can analyze the equations:

Both equations describe straight lines with the same slope of 7. However, they have different y-intercepts (-3 and +3).

Since the two lines have the same slope but different y-intercepts, they are parallel lines. Parallel lines never intersect, which means there are no points that satisfy both equations simultaneously.

Therefore, the system of equations has 0 solutions.