Question

Solve:
99x + 101y = 400
99y + 101x = 400​

Answer 1

Step-by-step explanation:

mark as brilliant answer

Answer 2

Answer:

x=2,y=2

Step-by-step explanation:

99x+101y=400______(1)

99y+101x=400

:101x+99y=400_____(2)

add equations (1) & (2)

99x+101y=400

+ 101x+99y=400

______________

200x+200y=800

divide each term by 200

x+y=4______(3)

subtract equations (1) from (2)

101x+99y=400

-. 99x+101y=400

-. -. -

______________

2x-2y=0

divide each term by 2

x-y=0________(4)

add equations (3)&(4)

x+y=4

+x-y=0

_________

2x=4

x=4/2

x=2

putting x=2in equation (3)

x+y=4

2+y=4

y=4-2

y=2