Mathematics
If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are respectively,
3 and 5
5 and 3
3 and 1
-1 and -3
Linear Equations
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Answer
Given,
x - y = 2 ……(i)
x + y = 4 ……(ii)
Adding both the equations we get,
⇒ x - y + x + y = 2 + 4
⇒ 2x = 6
⇒ x = 3.
Substituting value of x in (i),
⇒ 3 - y = 2
⇒ y = 3 - 2
⇒ y = 1.
Hence, Option 3 is the correct option.
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