Question

If $(x+1,y-2)=(3,1)$, find the values of $x$ and $y$.

Answer 1

Given
$(x+1,y-2)=(3,1)$
Compare corresponding elements in ordered pairs.
As the ordered pairs are equal, the corresponding elements should also be equal. Thus,
$x+1=3$ and $y-2=1$
Simplify the equations
$\Rightarrow x=3-1$ and $y=1+2$
$\Rightarrow x=2$ and $y=3$
Therefore, the values of $x$ and $y$ are $2$ and $3$ respectively.