If x = a and y = b is the solution

Question:

If x = a and 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

Solution:

(c) Since, x = a and y = b is the solution of the equations x – y = 2 and x+ y = 4, then these values will satisfy that equations

a-b= 2                                                                   ,..(i)

and    a + b = 4                                                  … (ii)

On adding Eqs. (i) and (ii), we get

2a = 6

a = 3 and b = 1

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