Question

If the ordered pairs $(a-3,a+2b)$ and $(3a-1,3)$ are equal, find the value of $a+b$.

Answer 1

Ordered pairs $(a-3,a+2b)$ and $(3a-1,3)$ are equal.

It means $a-3=3a-1$

and $a+2b=3⟶1$
$\therefore a-3a=-1+3$
$-2a=2⟹a=-1$
Put value of a in equation 1, we get
$-1+2b=3$
$2b=4$
$b=2$

$a+b=-1+2=1$