Question

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

• A. $6,5$
• B. $7,4$
• C. $4,7$
• D. $7,3$

Answer 1

Answer: (C)

$4,7$

If $(2x-y,x+y)=(1,11)$ then equate the corresponding sides as shown below:

$2x-y=1$ ...........(1)

$x+y=11$ ...........(2)

Adding equations (1) and (2) we get,

$2x-y+x+y=1+11$

$3x=12$

$x=4$

Substitute $x=4$ in equation (2) as follows:

$4+y=11$

$y=11-4$

$y=7$

Hence, $x=4$ and $y=7$