Question

How many solutions does the system of equations have? y%C2%A0– 5x = –6 and 3y%C2%A0– 15x = –12 (1 point) Responses one one two two infinitely many infinitely many none

Answer 1

The system of equations is:

y – 5x = –6 ........(1)
3y – 15x = –12 ....(2)

We can rewrite equation (2) by dividing both sides by 3:

y – 5x = –4 .......(3)

By comparing equations (1) and (3), we can see that they are the same equation. Therefore, they represent the same line.

Since both equations represent the same line, the system of equations has infinitely many solutions.

Answer: infinitely many