Question 13 - MCQs from NCERT Exemplar - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

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Question 13 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 (A) 3 and 5 (B) 5 and 3 (C) 3 and 1 (D) –1 and –3 Given Equations x – y = 2 x + y = 4 Adding (1) and (2) (x − y) + (x + y) = 2 + 4 2x = 6 x = 6/2 x = 3 Putting x = 3 in (1) x − y = 2 3 − y = 2 3 − 2 = y 1 = y y = 1 Thus, x = 3, y = 1 So, the correct answer is (C) x = 3 Putting x = 3 in (1) x − y = 2 3 − y = 2 3 − 2 = y 1 = y y = 1 Thus, x = 3, y = 1 So, the correct answer is (C) x = 3 Putting x = 3 in (1) x − y = 2 3 − y = 2 3 − 2 = y 1 = y y = 1 Thus, x = 3, y = 1 So, the correct answer is (C)