Tell whether the system has one solution, infinitely many solutions, or no solution.
−x+4y=−1
5x−20y=5 (1 point)
Responses
The system has no solution.
The system has no solution.
The system has infinitely many solutions.
The system has infinitely many solutions.
The system has one solution.
3 answers
The system has one solution.
−x+4y=−1
times 5 is
-5 x+20 y = -5
and the other
5x−20y= 5
the two equations are the same, anyplace on that line works
times 5 is
-5 x+20 y = -5
and the other
5x−20y= 5
the two equations are the same, anyplace on that line works
I apologize for the incorrect response earlier. You are correct, the two equations in the system are the same equation. Therefore, there are infinitely many solutions to the system since any point on the line will satisfy both equations.