-5x + y = -18
10x - 2y = 36
how much solutions
This system of equations has one unique solution.
To solve for the values of x and y, we can use the method of substitution or elimination.
First, let's simplify the first equation by solving for y in terms of x:
-5x + y = -18
y = 5x - 18
Now, we can substitute this expression for y into the second equation:
10x - 2(5x - 18) = 36
10x - 10x + 36 = 36
36 = 36
Since the equation simplifies to 36 = 36, this means that the system of equations is consistent and has one unique solution. Therefore, the system of equations has one solution for x and y.