Question

simultenious equation
99x+101y=499.......(1)
101x+99y=501........(2)​

Answer 1

Answer:

(x , y) = (3,2)

Step-by-step explanation:

99x + 101y + 101x + 99y = 499 + 501 ( adding both the equation)

200x + 200y = 1000

x + y = 5 --–--------(1) (whole equation dividing by 200)

99x + 101y - (101x + 99y) = 499 - 501 (substrate both the equation)

99x + 101y - 101x - 99y = -2

-2x + 2y = -2

x - y = 1 --–---–-----(2) ( whole equation dividing by -2)

from eq (1) & eq (2) we get....

x + y + x - y = 5 + 1

2x = 6 ( removing y)

x = 6/2 ( dividing by 2)

x = 3

now put the value of x in equation 1 we get...

3 + y = 5

y = 5 - 3

y = 2