1 ) Let's solve this Linear System with the elimination method
Choose the x, as the first variable to be eliminated
2x + 5y = 8 Multiply by 5 the whole equation
-10x – 9y = -72
Adding both equations:
10x +25y=40
-10x -9y=-72
----------------------
0 16y=-32 Dividing both equations by 16
y=-2
2) Plugging into the simplest equation within that Linear System:
2x +5(-2) = 8
2x -10 = 8 Adding 10 to both sides
2x = 18 Dividing both sides by 2
x=9
3) So the answer is the pair (9,-2)
