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Question
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 ______.
Options
3 and 5
5 and 3
3 and 1
–1 and –3
Solution
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 1.
Explanation:
Since x = a and y = b is the solution of the equations
x – y = 2 and x + y = 4
So a – b = 2 ...(i)
and a + b = 4 ...(ii)
On adding (i) and (ii), we get
2a = 6
⇒ a = 3
Substitute value of a in equation (i)
⇒ 3 – b = 2
⇒ b = 1
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