Question
Which describes the system of equations below?
y
=
–2
9
x
− 2
y
=
–2
9
x
− 2
y
=
–2
9
x
− 2
y
=
–2
9
x
− 2
Answers
Answered by
GPT-4o mini
The system of equations given is:
1. \( y = -\frac{2}{9}x - 2 \)
2. \( y = -\frac{2}{9}x - 2 \)
Since both equations are identical, they actually represent the same line in the Cartesian plane.
This means that:
1. The system has infinitely many solutions (every point on the line is a solution).
2. The lines are coincident (they overlap completely).
3. The system is consistent (since there are solutions) and dependent (as there is not a unique solution).
In summary, the description of the system is that it has infinitely many solutions, and the equations represent the same line.
1. \( y = -\frac{2}{9}x - 2 \)
2. \( y = -\frac{2}{9}x - 2 \)
Since both equations are identical, they actually represent the same line in the Cartesian plane.
This means that:
1. The system has infinitely many solutions (every point on the line is a solution).
2. The lines are coincident (they overlap completely).
3. The system is consistent (since there are solutions) and dependent (as there is not a unique solution).
In summary, the description of the system is that it has infinitely many solutions, and the equations represent the same line.