If x=a, y=b is the solution of the equations x-y=2 and x+y=4,then find the value of a and b.

If x=a, y=b is the solution of the equations x-y=2 and x+y=4,then find

1.	If x=a, y=b is the solution of the equations x-y=2 and x+y=4,then find the value of a and b.
Answer» A-3,b-1 Given, x=a and y=b.Given equations, x-y=2( assume it as equation 1)x + y = 4( assume it as equation 2)Equation 1+2,x-y = 2x+y = 4- - - - - - -2x = 6( y gets cancelled as there is a negative y and a positive y implies y-y=0)x = 6/2x = 3But x = a implies a =3substitute a in equation 1 (it can be substituted even in equation 2)x-y=23-y=2y=3-2y=1But y=b implies b=1Therefore, a=3 and b=1