If 101x+99y=0,99x+101y=0,then(x,y)
Answers
The solution (x,y) is (0,0)
Step-by-step explanation:
Given equations are
and
Now to solve the given equations to find (x,y) by elimination method
First multiply the equation (1) into 99 on both sides we have
First multiply the equation (2) into 101 on both sides we have
Subtracting equations (3) and (4) we get
___(-)____(-)_______________
Therefore y=0
Substitute y=0 in equation (1) we have
Therefore x=0
The solution (x,y) is (0,0)
The value of x + y is equal to 5.
Step-by-step explanation:
The complete question:
If 99x + 101y = 400 and 101x + 99y = 600, then x + y is:
Given,
99x + 101y = 400 ............ (1)
and 101x + 99y = 600 ............ (2)
To find, the value of x + y = ?
Adding equations (1) and (2), we get
99x + 101y + 101x + 99y = 400 + 600
⇒ 200x + 200y = 1000
⇒ 200(x + y) = 1000
⇒ x + y =
⇒ x + y = 5
∴ The value of x + y = 5
Thus, the value of x + y is equal to 5.
You refer:
https://brainly.in/question/4676915