If x=a, y=b is the solution of the pair of equation x-y=2 and x +y=4 find the value of a and b

If x=a, y=b is the solution of the pair of equation x-y=2 and x +y=4 f

1.	If x=a, y=b is the solution of the pair of equation x-y=2 and x +y=4 find the value of a and b
Answer» x=a=3y=b=1 Given= x=a and y=bThe equation are x-y=2. equation-1x+y=4. equation-2 Adding equation 1 form equation 2x+y=4x-y=22x=6x=6/2x=3Substitute the value of x in eq 2x+y=43+y=4y=4-3y=1 x = a , y = bx - y = 2a - b = 2....... (i)x + y = 4a + b = 4 ....... (ii)Add (i) and (ii)2a = 6a = 6/2 = 3But a = 3 in (ii)3 + b = 4b= 4 - 3b = 1So, a = 3 and b = 1