Kriti nd pallavi of class nine decided to collect₹25 for class cleanli...
**Linear Equation in Two Variables:**
The linear equation in two variables represents a straight line on the coordinate plane. It can be written in the form of "ax + by = c", where "a" and "b" are the coefficients of the variables "x" and "y", and "c" is a constant.
In this scenario, Kriti and Pallavi of class nine have decided to collect ₹25 for class cleanliness. Let's assume that Kriti contributed "x" amount and Pallavi contributed "y" amount towards the collection. Since they both decided to collect ₹25 together, we can write a linear equation as follows:
x + y = 25
This equation represents the total amount collected by Kriti and Pallavi, which is ₹25.
**Graphical Representation:**
To graphically represent this linear equation, we can plot the values of "x" and "y" on a coordinate plane. The x-axis can represent the amount contributed by Kriti (x), and the y-axis can represent the amount contributed by Pallavi (y).
Now, let's find a few points that satisfy the given equation:
When Kriti contributes ₹0 (x = 0), Pallavi must contribute the entire amount of ₹25 (y = 25).
When Pallavi contributes ₹0 (y = 0), Kriti must contribute the entire amount of ₹25 (x = 25).
When Kriti contributes ₹12 (x = 12), Pallavi must contribute the remaining amount of ₹13 (y = 13).
When Pallavi contributes ₹10 (y = 10), Kriti must contribute the remaining amount of ₹15 (x = 15).
By plotting these points on the coordinate plane and connecting them, we get a straight line. The line passes through the points (0, 25) and (25, 0) and intersects the x-axis at (25, 0) and the y-axis at (0, 25).
The graph of the linear equation x + y = 25 is a straight line that starts from (0, 25) and ends at (25, 0).
**Values Depicted:**
This scenario highlights certain values and qualities, such as:
1. Cooperation: Kriti and Pallavi are working together to achieve a common goal of collecting ₹25 for class cleanliness. This reflects their cooperative nature and willingness to contribute to the betterment of their class.
2. Responsibility: Both Kriti and Pallavi are taking responsibility for the cleanliness of their class by actively participating in the collection. They are aware of their duty and are willing to fulfill it.
3. Equality: The linear equation x + y = 25 represents the concept of equality, as both Kriti and Pallavi are contributing equally to reach the target amount. This promotes fairness and equal participation.
4. Teamwork: By collecting money together, Kriti and Pallavi are engaging in teamwork. They are combining their efforts and resources to achieve a common objective, demonstrating the significance of collaboration.
Overall, this scenario and the corresponding linear equation depict values such as cooperation, responsibility, equality, and teamwork, which are essential in achieving common goals and maintaining a harmonious environment.
Kriti nd pallavi of class nine decided to collect₹25 for class cleanli...
X+y=25
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