How many solutions (s) does the system of equations have? -5x+y=-18 and 10x-2y=36
The system of equations can be written as:
-5x + y = -18
10x - 2y = 36
We can rewrite the first equation as:
y = 5x - 18
Substitute this expression for y into the second equation:
10x - 2(5x - 18) = 36
10x - 10x + 36 = 36
36 = 36
Since the equation is always true, it means that the system of equations has infinitely many solutions.