Question

If (2x-y,x+y)=(1,11) then the values of x and y respectively are

• A. 6,5
• B. 7,4
• C. 4,7
• D. 7,3

Answer 1

The correct option is C 4,7

Equating both the corresponding co-ordinates of the given ordered pairs, we get
$2x-y=1$ --- (1)
$x+y=11$ --- (2)
Adding eqns 1 and 2, we get
$3x=12=>x=4$
And substituting $x=4$ in eqn 1 we get
$4+y=11=>y=7$