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Sagot :
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.
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.
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