If x = a, y = b is the solution of the pair of equation x-y = 2 and x+y = 4 then what will be value of a and b a.2,1 b.3,1 c.4,6 d.1,2
Question
If x = a, y = b is the solution of the pair of equation
then what will be value of a and b
- a. 2,1
- b. 3,1
- c. 4,6
- d. 1,2
Solution
To find the values of a and b, we need to solve the system of equations given. The system of equations is:
x - y = 2 x + y = 4
We can solve this system of equations by adding the two equations together. This will eliminate y:
x - y + x + y = 2 + 4 2x = 6 x = 6 / 2 x = 3
So, a = 3.
Now, we can find the value of y by substituting x = 3 into the second equation:
3 + y = 4 y = 4 - 3 y = 1
So, b = 1.
Therefore, the solution is b.3,1.
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