Answer
The required answers are:
$$\boxed{x_{1}=5;x_{2}=3}$$
Work Step by Step
Step1: The given system of equations are:
$$\begin{gathered}x_{1}-x_{2}=2~\ldots\text{Eq.1}\\x_{2}=3\end{gathered}$$
Step2: Substitute $x_{2}=3$ into Eq.1 as follows:
$$ x_{1}-3=2 $$Step3: Adding $3$ to both sides of the equation, we obtain:
$$x_{1}-3+3=2+3$$
Step4: Recall that the sum of opposites equals zero, so it follows:
$$x_{1}-0=2+3$$
Step5: Using the identity property of subtraction, we get:$$x_{1}=2+3$$Step6: Add the numbers on the left side of the equation: $$\boxed{x_{1}=5}$$ Therefore, the required answers are:
$$\boxed{x_{1}=5;x_{2}=3}$$
