Question

Find the value of $x$ and $y$ if: $(x+y,x-y)=(12,2)$.

Answer 1

Given: $(x+y,x-y)=(12,2)$
$\therefore x+y=12$
⇒ $y=12-x$ $\dots \left(i\right)$
Also, $x-y=2\dots \left(ii\right)$
Substitute the value of $y$ from eq (i) in eq (ii), we get
$x-(12-x)=2$
⇒ $2x=10$
⇒ $x=5$
⇒ $y=12-5=7$

So, the values of $x$ and $y$ are 5 and 7, respectively.