Скачать или смотреть Class 10 Maths 3.3 | Algebraic Methods Explained | Linear Equations in Two Variables

Topic: Solving a pair of linear equations by substitution method.

Focus:

Solve two linear equations with two variables (
𝑥
x and
𝑦
y) using substitution.

Understand how to express one variable in terms of the other from one equation and substitute it into the second equation.

Practice different types of problems:

Equations with integer solutions.

Equations where you need to simplify before substituting.

Skills Developed:

Algebraic manipulation

Logical reasoning

Problem-solving using stepwise substitution

Example of the type of problem in 3.3:

Equation 1: 
𝑥
+
𝑦
=
10
Equation 2: 
2
𝑥
−
𝑦
=
3
Equation 1: x+y=10Equation 2: 2x−y=3

Step 1: Express
𝑦
y from Equation 1:
𝑦
=
10
−
𝑥
y=10−x

Step 2: Substitute into Equation 2:
2
𝑥
−
(
10
−
𝑥
)
=
3
2x−(10−x)=3

Step 3: Solve for
𝑥
x, then find
𝑦
y.

If you want, I can make a full easy-to-understand summary of all problems in Exercise 3.3 with solutions and shortcuts. It will be like a mini guide for that exercise.

Do you want me to do that?