Sure, let's solve this system of equations step by step.
We start with the given system of equations:
[tex]\[
\begin{array}{l}
x - y = 34 \\
x + y = 212
\end{array}
\][/tex]
To solve this system, we can use the method of elimination or substitution. Here, I'll use the elimination method:
1. Add the two equations together to eliminate [tex]\( y \)[/tex]:
[tex]\[
(x - y) + (x + y) = 34 + 212
\][/tex]
Simplifying the left side, we get:
[tex]\[
2x = 246
\][/tex]
Solving for [tex]\( x \)[/tex] by dividing both sides by 2:
[tex]\[
x = 123
\][/tex]
2. Substitute [tex]\( x = 123 \)[/tex] back into one of the original equations to solve for [tex]\( y \)[/tex]:
Let's use the second equation [tex]\( x + y = 212 \)[/tex]:
[tex]\[
123 + y = 212
\][/tex]
Solving for [tex]\( y \)[/tex] by subtracting 123 from both sides:
[tex]\[
y = 89
\][/tex]
Thus, Malik has [tex]\( \boxed{89} \)[/tex] foreign stamps and [tex]\( \boxed{123} \)[/tex] domestic stamps.
