How many solution(s) does the system of equations have?

Question

-5x+y=-18
10x-2y=36

Answer 1

The system of equations is:

-5x + y = -18
10x - 2y = 36

To find the number of solutions, we can simplify the system of equations by multiplying the first equation by 2:

-10x + 2y = -36
10x - 2y = 36

Now we can see that the two equations are equivalent, with the second being the negative of the first. This means that they represent the same line and the system of equations has infinitely many solutions.

Therefore, the system of equations has infinitely many solutions.