🧮📊📐 PART 4 | 10th Class | Linear Equations | Chapter 3| Substitution Method Unsolved Questions |

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Welcome to this in-depth and student-friendly video lesson on the Substitution Method, a key technique for solving Linear Equations in Two Variables, based on NCERT Class 10 Maths Chapter 3.

If you're preparing for Class 10 CBSE Board Exams, aiming for concept clarity, and want to learn step-by-step NCERT solutions, then this video is exactly what you need.

We will not only solve textbook questions, but also explain the logic, real-world application, and mistakes students usually make while solving these kinds of questions.

✍️ What are Linear Equations in Two Variables?
A linear equation in two variables is an algebraic equation of the form:

ax+by+c=0
Where:

𝑥 and y are variables

𝑎, b, and c are real numbers

𝑎≠0
𝑏≠0
Two such equations form a system of linear equations, and the point of intersection of their graphs is the solution to both equations.

🧠 What is the Substitution Method?
The substitution method is one of the easiest and most logical methods to solve a pair of linear equations. In this method:

✅ One equation is solved for one variable in terms of the other
✅ The result is substituted into the second equation
✅ This reduces it to an equation in one variable
✅ Solve it and substitute back to get the value of the second variable

🔍 When Should You Use Substitution Method?
When one of the equations is already solved for a variable (e.g., x = 2y + 3)

When equations are simple and easy to manipulate

When substitution results in smaller, easier calculations

When the system is not ideal for elimination or cross-multiplication

This method is especially useful for solving word problems, which is a crucial part of CBSE board exams.

✅ Steps to Solve by Substitution Method:
Step 1: Express one variable in terms of the other from either equation.
E.g., From
x+2y=5, we can say:

x=5−2y
Step 2: Substitute this expression in the second equation.
E.g., If second equation is

3x+y=11, substitute for x:
3(5−2y)+y=11
Step 3: Solve the resulting single-variable equation.

15−6y+y=11⇒−5y=−4⇒y= 5/4
​

Step 4: Substitute this value back into any original equation to find the second variable.
​

Step 5: Write the solution as an ordered pair (x, y).

📚 NCERT Class 10 – Chapter 3: Pair of Linear Equations
This chapter contains the following methods of solving equations:

Substitution Method

Elimination Method

Cross-Multiplication Method

Graphical Method

In this video, we’re focusing deeply on Substitution, along with all examples, exercise questions, and word problems based on it.

Видео 🧮📊📐 PART 4 | 10th Class | Linear Equations | Chapter 3| Substitution Method Unsolved Questions | канала GyanSpark