Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
To solve this system of equations, we need to find the values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] that satisfy both equations simultaneously.
The system of equations given is:
[tex]\[ \begin{array}{l} x - y = 34 \\ x + y = 212 \end{array} \][/tex]
Let's solve this step-by-step.
1. Add the two equations to eliminate [tex]\(y\)[/tex]:
[tex]\[ \begin{array}{c} (x - y) + (x + y) = 34 + 212 \\ \end{array} \][/tex]
Simplify the left side:
[tex]\[ x - y + x + y = 34 + 212 \][/tex]
Combine like terms:
[tex]\[ 2x = 246 \][/tex]
Solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{246}{2} = 123 \][/tex]
So, Malik has 123 domestic stamps.
2. Substitute [tex]\(x = 123\)[/tex] back into one of the original equations to find [tex]\(y\)[/tex]:
We use the second equation:
[tex]\[ x + y = 212 \][/tex]
Plug in [tex]\(x = 123\)[/tex]:
[tex]\[ 123 + y = 212 \][/tex]
Solve for [tex]\(y\)[/tex]:
[tex]\[ y = 212 - 123 = 89 \][/tex]
So, Malik has 89 foreign stamps.
Therefore, Malik has:
[tex]\[ \boxed{89} \][/tex]
foreign stamps and
[tex]\[ \boxed{123} \][/tex]
domestic stamps.
The system of equations given is:
[tex]\[ \begin{array}{l} x - y = 34 \\ x + y = 212 \end{array} \][/tex]
Let's solve this step-by-step.
1. Add the two equations to eliminate [tex]\(y\)[/tex]:
[tex]\[ \begin{array}{c} (x - y) + (x + y) = 34 + 212 \\ \end{array} \][/tex]
Simplify the left side:
[tex]\[ x - y + x + y = 34 + 212 \][/tex]
Combine like terms:
[tex]\[ 2x = 246 \][/tex]
Solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{246}{2} = 123 \][/tex]
So, Malik has 123 domestic stamps.
2. Substitute [tex]\(x = 123\)[/tex] back into one of the original equations to find [tex]\(y\)[/tex]:
We use the second equation:
[tex]\[ x + y = 212 \][/tex]
Plug in [tex]\(x = 123\)[/tex]:
[tex]\[ 123 + y = 212 \][/tex]
Solve for [tex]\(y\)[/tex]:
[tex]\[ y = 212 - 123 = 89 \][/tex]
So, Malik has 89 foreign stamps.
Therefore, Malik has:
[tex]\[ \boxed{89} \][/tex]
foreign stamps and
[tex]\[ \boxed{123} \][/tex]
domestic stamps.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.