Solve xand y 49x 51y=499 and 51x 49y=501 by elemination method
Answers
Answer:
The value of x is 11/2 and that of y is 9/2
Step-by-step explanation:
The given equations are:
49x + 51y = 499 --(i)
51x + 49y = 501 --(ii)
On adding the equations, we get,
100x + 100y = 1000
Dividing by 100
=> x + y = 10 --(iii)
On subtracting the equations, we get,
- 2x + 2y = -2
Dividing by 2
=> - x + y = - 1 -- (iv)
Now, solving equation (iii) and equation (iv),
x + y = 10
- x + y = - 1
On adding,
2y = 9
=> y = 9/2
Substituting y = 9/2 in equation (iii)
=> x + 9/2 = 10
=> x = 10 - 9/2
=> x = 11/2
Therefore, the value of x is 11/2 and that of y is 9/2
Answer:
The value of x is 11/2 and that of y is 9/2.
Step-by-step explanation:
Given equations are:
49x + 51y = 499 --(i)
51x + 49y = 501 --(ii)
On adding the equations, we get,
100x + 100y = 1000
Dividing by 100
=> x + y = 10 --(iii)
On subtracting the equations, we get,
- 2x + 2y = -2
=> - x + y = - 1 -- (iv)
Now, solving equation (iii) and equation (iv),
x + y = 10
-x + y = - 1
On adding we get:
2y = 9
=> y = 9/2
Substituting y = 9/2 in equation (iii)
=> x + 9/2 = 10
=> x = 10 - 9/2
=> x = 11/2
Therefore, the value of x is 11/2 and that of y is 9/2.
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