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 ______.

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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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