Penyelesaian Sistem Persamaan Linear Dua Variabel (SPLDV) dengan Metode Grafik.

Summary

In this lesson, 9th-grade students are guided through the process of solving two-variable linear equation systems using the graphical method, as outlined in the Merdeka curriculum. The video demonstrates how to model real-world problems, such as the pricing of milk and clothes, into linear equations. The teacher explains the steps for graphing these equations, finding intersection points, and verifying solutions. Various examples and exercises are provided to reinforce understanding, encouraging students to practice drawing graphs and interpreting solutions for different systems of linear equations.

Takeaways

• 😀 The lesson covers solving two-variable linear equation systems using the graphical method for 9th-grade mathematics students.
• 😀 The script introduces the concept of a linear equation system with practical examples, such as the prices of cow's milk and soy milk, and batik clothes and trousers.
• 😀 Students learn how to model real-world situations into two-variable linear equations, such as the price of milk and clothing items.
• 😀 The first mathematical model involves solving the equation for the price of one bottle of soy milk and one bottle of cow's milk.
• 😀 The script explains the method of graphing equations by determining intersection points with the x-axis and y-axis.
• 😀 The system of linear equations can be solved using four methods: graphical, substitution, elimination, and mixed methods.
• 😀 Graphing involves finding the x- and y-intercepts of equations, creating tables, and then plotting the points on a coordinate plane.
• 😀 Example equations like 4x - 3y = 24 and 2x - y = 10 are used to demonstrate how to graph and find the intersection point.
• 😀 The solution to a system of equations is determined by finding the point where the lines intersect on the graph.
• 😀 Practice problems are provided to help students apply the graphical method and analyze the shape of lines and their intersection points.

Q & A

What is the focus of the lesson in the provided script?

The lesson focuses on solving systems of linear equations using the graphical method, as part of the 9th grade mathematics curriculum under the Merdeka curriculum.

How is the price of soy milk and cow's milk modeled in the first example?

The price of soy milk and cow's milk is modeled using a two-variable linear equation system, where 'x' represents the price of one bottle of soy milk and 'z' represents the price of one bottle of cow's milk.

What are the two equations derived from the first example involving cow's milk and soy milk?

The two equations are: 2x + 3y = 36,000 (for 3 bottles of cow's milk and 1 bottle of soy milk) and x + 4y = 38,000 (for 4 bottles of cow's milk and 1 bottle of soy milk).

What method is recommended for solving the system of equations in the lesson?

The graphical method is recommended for solving the system of linear equations in the lesson.

In the second example about batik clothes and trousers, how are the prices modeled?

The price of batik clothes and trousers is modeled using a two-variable linear equation system, where 'P' represents the price of one batik shirt and 'Q' represents the price of one pair of trousers.

What are the two equations derived from the batik clothes and trousers example?

The two equations are: 2P + 3Q = 335,000 (for 2 batik shirts and 3 pairs of trousers) and 3P + 5Q = 835,000 (for 3 batik shirts and 5 pairs of trousers).

What steps are involved in solving the system of linear equations graphically?

The steps include determining the points of intersection on the x-axis and y-axis, creating tables of values for the equations, plotting these points on a graph, and then drawing lines to find the point of intersection between the two equations.

What is the solution to the system of equations 4x - 3y = 24 and 2x - y = 10 using the graphical method?

The solution to the system of equations 4x - 3y = 24 and 2x - y = 10 is the point (3, -4), where the two lines intersect.

How can the correctness of the solution (3, -4) be verified?

The correctness of the solution can be verified by substituting the values x = 3 and y = -4 into both original equations. Both equations are satisfied, confirming that (3, -4) is the correct solution.

What does the script suggest students do as practice after the lesson?

The script suggests that students try solving additional systems of linear equations using the graphical method, including plotting graphs and determining the intersection points for various systems of equations.