Solve the following system of equations by elimination.
-4x-8y=-20
8x+3y=1
the answer is (-1,3) show your work on why that answer is correct
To solve the system using elimination, we can start by multiplying the first equation by 2 so that the coefficients of y have opposite signs:
-8x - 16y = -40
8x + 3y = 1
Now, add the two equations together:
-13y = -39
y = -39 / -13
y = 3
Now that we have found the value of y, we can substitute it back into either of the original equations to find the value of x. Using the second equation:
8x + 3(3) = 1
8x + 9 = 1
8x = -8
x = -8 / 8
x = -1
Therefore, the solution to the system of equations is (-1, 3).