Question

Find the values of the $x+y$ and $x-y$ from the examples given below without solving for x and y

$5x-3y=14;3x-5y=2$

• A. $-2$, $6$
• B. $2$, $6$
• C. $6$, $2$
• D. $6$, $-2$

Answer 1

Answer: (C)

$6$, $2$

$\text{The given equations are}$

$5x-3y=14$ ...(i)

$3x-5y=2$ ...(ii)

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

$8x-8y=16\Rightarrow x-y=2$

On subtracting (ii) from (i), we get

$2x+2y=12\Rightarrow x+y=6$

$\therefore x+y=6andx-y=2$