Question

Systems of Linear Equations Online Practice
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Question
Determine the number of solutions to this system of linear equations:
y=7x−3

y=7x+3
(1 point)
Responses

infinite
infinite

0
0

2
2

1

Answer 1

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

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

We can observe that both equations have the same slope (7) but different y-intercepts (-3 and +3).

This means that the lines are parallel and will never intersect. Therefore, there are no points (x, y) that satisfy both equations simultaneously.

Thus, the number of solutions to this system of equations is:

**0**.