Wow what a detailed question
anyway
To solve the system of equations:
1. 4x + 8y = 20
2. -4x + 2y = -30
We'll use the elimination method:
1. Add the two equations together to eliminate x:
(4x + 8y) + (-4x + 2y) = 20 + (-30)
Simplify:
4x - 4x + 8y + 2y = 20 - 30
10y = -10
2. Solve for y:
y = -10/10
y = -1
3. Substitute y = -1 into equation 1 to solve for x:
4x + 8(-1) = 20
Simplify:
4x - 8 = 20
4x = 28
x = 28/4
x = 7
So, the solution to the system of equations is x = 7 and y = -1. Therefore, the solution is the ordered pair (7, -1).
