← CBSE Class 10 (age 15) Mathematics ยท Pair of Linear Equations in Two Variables

Substitution and Elimination Methods

Practice Quiz

Q1. What is the first step in substitution method?

โœ” You must express one variable in terms of another before substituting.

Q2. What is the value of x in our example?

โœ” Solving 3x - 5 = 4 gives 3x = 9, so x equals 1.

Q3. Which error is most common in elimination?

โœ” Distributing negative signs incorrectly is a frequent mistake students make.
Show transcript
[Slide 1] Solving Two Equations Together
We need to find specific x and y values that make both equations true simultaneously. Think of it like finding the intersection point of two lines.

[Slide 2] The Substitution Method Rule
First, express one variable in terms of the other from a simpler equation. Then, replace that variable in the second equation to solve it.

[Slide 3] Solving Step by Step
Put five minus x where y was in the second equation. Simplify to find x is one, then plug back to get y.

[Slide 4] Watch Out for Signs
Students often forget the negative sign applies to the whole bracket. Always double check your signs when expanding terms.

[Slide 5] Quick Method Recap
Remember the four steps clearly to avoid errors in exams. Always verify your solution by putting values back into original equations.