Final answer:
To solve the system of equations, the addition method was used to find the ordered pair which is (3, 2).
Step-by-step explanation:
The question involves finding the ordered pair that satisfies both of the given equations:
1. 4x + 5y = 22
2. 2x - 5y = -4
To solve this system of equations, we can use the method of addition (or elimination). Adding the two equations will eliminate y and allow us to solve for x:
- 4x + 5y = 22
- 2x - 5y = -4
- ---------------
- (4x + 2x) + (5y - 5y) = 22 - 4
- 6x = 18
Dividing both sides by 6, we find x = 3.
Now, plug x = 3 into one of the equations to find y. Using the first equation:
- 4(3) + 5y = 22
- 12 + 5y = 22
- 5y = 22 - 12
- 5y = 10
- y = 2
Therefore, the ordered pair solution to the system is (3, 2).