How many solutions the system of equations

Question

6x+2y=-18
3x+y=24

Answer 1

The system of equations has one solution.

By multiplying the second equation by 2, we have:

6x + 2y = 48

Now we have the two equations:

6x + 2y = -18
6x + 2y = 48

Subtracting the first equation from the second gives us:

66 = 66

This means that the two lines coincide and have only one intersection point, resulting in one solution.