Class 7 Maths | Chapter 4 Simple Equations | Exercise 4.2 Q3 & Q4 | Solving by Separating Variable
Welcome to another detailed session of Class 7 Mathematics – Chapter 4: Simple Equations (Exercise 4.2, Questions 3 and 4). In this video, we continue our journey of solving equations using the very important and easy-to-understand method known as Separating the Variable. In the previous questions (Q1 & Q2), we solved simple equations by shifting constant terms to one side and variables to the other. Now, in Questions 3 and 4, we will solve slightly more advanced equations where both addition/subtraction and multiplication/division are involved. This will strengthen your understanding of algebra and prepare you for real-life word problems. ⸻ 🌟 Recap – What is Separating the Variable? • In this method, we move all variable terms (like 2x, 3y) to one side of the equation. • We shift all constant terms to the other side. • While moving terms across the equality sign, their signs change. • Finally, we simplify to find the value of the variable. Example: 5x - 7 = 18 Step 1: Shift -7 to RHS → 5x = 18 + 7 Step 2: Simplify → 5x = 25 Step 3: Divide both sides by 5 → x = 5 This shows how quick and effective the separating method is. ⸻ 🌟 Detailed Look at Exercise 4.2 Q3 & Q4: 🔹 Question 3: The equation in this question requires students to handle terms involving both positive and negative constants. Students learn how to carefully shift terms across the equality sign and simplify step by step. Skill Learned: Properly handling negative and positive signs while shifting. 🔹 Question 4: Here, the equation includes multiplication with the variable. After separating the variable, division is required to isolate the unknown. Students gain confidence in dealing with coefficients. Skill Learned: Isolating variables when coefficients are present. ⸻ 🌟 Steps for Solving (Separating the Variable): 1. Identify the variable term and keep it on one side of the equation. 2. Shift constant terms to the opposite side of the equation with sign change. 3. Simplify the numbers to reduce the equation. 4. If the variable has a coefficient (like 2x, 3x, 5y), divide both sides by that number. 5. Write the final value of the variable. 6. Check your answer by substituting the value back into the original equation. ⸻ 🌟 Why These Questions Are Important: • They help students practice equations with multiple steps. • They improve confidence in algebraic manipulation. • They provide a solid foundation for solving word-based problems in the next exercises. ⸻ 🌟 Learning Outcome: After solving Questions 3 and 4, students will: • Be able to confidently separate variable and constant terms. • Handle equations involving both subtraction/addition and multiplication/division. • Build stronger problem-solving skills in algebra. ⸻ 🌟 Why Watch This Video? • Step-by-step explanation of Q3 and Q4. • Simple and clear demonstration of the separating method. • Helpful for NCERT Class 7 Maths students and those preparing for exams. • Builds a base for solving advanced algebra in higher classes. With practice, you will find algebra easy, logical, and enjoyable. Keep learning, and soon equations will feel like puzzles waiting to be solved! #Class7Maths #NCERTMaths #SimpleEquations #Exercise4_2 #SeparatingVariable #EquationSolving #AlgebraForClass7 #NCERTSolutions #MathsLearning #Class7Chapter4 #avirajvamdev #ncertsolutions #ashutoshsharma #ashutoshsharmananeola #naneola #nanyola #cet #htet #cbse2025 #hbse2025 #likeandsubscribe #viralvideo #mathematics #mathsmadeeasy #like #simpleequations #views #mathswithashutosh
