Скачать или смотреть Class 7 Maths | Chapter 4 Simple Equations | Exercise 4.2 Q1 & Q2 | Solving by Separating Variable

Welcome to this detailed solution of Class 7 Mathematics – Chapter 4: Simple Equations (Exercise 4.2, Questions 1 and 2). In this lesson, we will focus on solving equations using a new and very important method called Separating the Variable.

So far in Exercise 4.1, we used the balancing method to solve equations, where we performed the same operation on both sides. Now, in Exercise 4.2, we learn a simpler and more direct approach — separating the variable and constant terms to opposite sides of the equation.

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🌟 What is Separating the Variable?

The idea behind this method is:
1. Keep all terms with the variable (like x, y, etc.) on one side of the equation.
2. Move all the constant numbers (without variables) to the other side.
3. Simplify step by step to get the solution.

For example:
3x + 4 = 19
Step 1: Shift +4 to the other side →
3x = 19 - 4
Step 2: Simplify →
3x = 15
Step 3: Divide both sides by 3 →
x = 5

This is called the separating the variable method, and it is much faster once you understand the basics.

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🌟 Detailed Look at Exercise 4.2 Q1 & Q2:

🔹 Question 1:

Students are given simple equations where they must move constants to the other side and isolate the variable. The focus is on carefully performing addition and subtraction.

Skill Learned: Moving terms across the equality sign with sign change.

🔹 Question 2:

This problem extends the same concept but may include multiplication or division, which requires more attention. Here, after separating the variable, students learn to divide or multiply to simplify further.

Skill Learned: Handling equations involving coefficients of variables.

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🌟 Steps Used in Separating the Variable:
1. Identify the variable term.
2. Keep the variable term on the left-hand side (LHS).
3. Shift constant terms to the right-hand side (RHS) with sign change.
4. If the variable has a coefficient (e.g., 2x, 3y), divide both sides to get the value of the variable.
5. Check the solution by substituting back into the original equation.

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🌟 Why This Method is Important?
• It is quicker and easier than balancing for longer equations.
• It builds confidence for solving equations in higher classes.
• It helps students understand the logic of transposition, which is widely used in algebra.

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🌟 Learning Outcome:

By the end of Q1 and Q2, students will be able to:
• Solve simple equations quickly using separating the variable method.
• Confidently shift terms across the equation with correct sign changes.
• Apply this method in both simple and word-based problems.

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🌟 Why Watch This Video?
• Clear step-by-step explanation of Q1 & Q2.
• Easy demonstration of separating the variable.
• Builds a strong foundation for algebra and higher-level math.
• Perfect for NCERT Class 7 Maths students, competitive exam aspirants, and self-learners.

Keep practicing regularly, and soon you’ll find solving equations as easy as basic arithmetic!

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