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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

xy=2 x - y = 2
x+y=4 x + y = 4

then what will be value of a and b

  • a. 2,1
  • b. 3,1
  • c. 4,6
  • d. 1,2
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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.

This problem has been solved

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