simultenious equation
99x+101y=499.......(1)
101x+99y=501........(2)
Answers
Answered by
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
Similar questions