To find the number of solutions, we can solve the system of equations.
Let's multiply the first equation by 2 to make the coefficients of y in both equations equal:
-5x + y = -18
2*(-5x + y) = 2*(-18)
-10x + 2y = -36
Now we have:
-10x + 2y = -36
10x - 2y = 36
Adding these two equations, we eliminate the variable x:
(-10x + 2y) + (10x - 2y) = -36 + 36
0 = 0
The equation 0 = 0 is always true, which means that the two equations are dependent. This implies that the equations represent the same line, and therefore, the system of equations has infinitely many solutions.
How many solution(s) does the system of equations have? -5x+y=-18 and 10x-2y=36
1 answer