Question

y = 5x – 1
–15x – 3y = 3
How many solutions does this linear system have?

one solution: (0, –1)
one solution: (1, 4)
no solution
infinite number of solutions

Answer 1

both are linear so try to solve them simultaneously. These are the possibilities:

If you get a sensible answer, there is one solution.
If you answer does not include x and still makes sense, there are infinite solutions. (this occurs when the two equations you solve simultaneously are exactly the same)
If your answer does not include x and does not make sense, there are no solution.

Answer 2

thanks

Answer 3

y = 5x – 1
–15x – 3y = 3

re-arrange teh second equation:
3y =-3-15x

divide by 3
y = - 5x-1

so now you have the following equations:

y = - 5x-1
y = 5x – 1

see if oyu can solve those simultaneously