Answer:
(x,y) = (-2,4)
Step-by-step explanation:
Consider the system of equation,
2x + 5y = 16 .......... (1)
-5x - 2y = 2 ......... (2)
Using Elimination method to solve the system of equation,
Multiply equation (1) by 5 , we get,
10x + 25y = 80 ...........(3)
Multiply equation (2) by 2 , we get,
-10x - 4y = 4 ......... (4)
Adding (3) and (4) , we get,
10x + 25y +( -10x - 4y )= 4 + 80
10x and -10x got cancel, we get,
25y - 4y = 84
⇒ 21y = 84
⇒ y = 4
Put y = 4 in (1),
2x + 5(4) = 16 ⇒ 2x = 16 - 20 ⇒ 2x = -4 ⇒ x = -2
Thus, (x,y) = (-2,4)
