Solve the following systems of equations:99x + 101y = 499101x + 99y =

1.	Solve the following systems of equations:99x + 101y = 499101x + 99y = 501
Answer» 99x + 101y = 499 101x + 99y = 501 Adding both equations ⇒ 200x + 200y = 1000 ⇒ x + y = 5 ------ (1) Subtracting both equation ⇒ 2y – 2x = - 2 ⇒ x – y = 1 ----- (2) Adding 1 and 2 ⇒ 2x = 6 ⇒ x = 3 Thus, 3 + y = 5 ⇒ y = 2

Solve the following systems of equations:99x + 101y = 499101x + 99y = 501

Answer»

99x + 101y = 499

101x + 99y = 501

Adding both equations

⇒ 200x + 200y = 1000

⇒ x + y = 5 ------ (1)

Subtracting both equation

⇒ 2y – 2x = - 2

⇒ x – y = 1 ----- (2)

Adding 1 and 2

⇒ 2x = 6

⇒ x = 3

Thus,

3 + y = 5

⇒ y = 2