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Class 9 Math: Pair of Linear Equations in Two Variables

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Class 9 Math: Pair of Linear Equations in Two Variables

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Questions and Answers

What is the highest degree of variables in a linear equation?

One

What is the general form of a linear equation in two variables?

ax + by + c = 0

What is a solution of a linear equation in two variables?

A pair of values x and y, which makes the two sides of the equation equal

What is a pair of linear equations in two variables?

When we study two linear equations at a time Signup and view all the answers

Can you provide an example of a linear equation in two variables?

2x + 3y = 6 or x - 2y - 4 = 0 Signup and view all the answers

What are the two methods of solving a pair of linear equations in two variables?

Graphical Method and Algebraic Method Signup and view all the answers

What is the purpose of studying a pair of linear equations in two variables?

To find the solution, which is a pair of values x and y, that satisfies both equations Signup and view all the answers

What are the three possibilities that can arise when we graph two linear equations in two variables?

The two lines will intersect each other at one point, the two lines will not intersect each other (i.e., they are parallel), or the two lines will become coincident or overlapping. Signup and view all the answers

What is the condition for two linear equations to be intersecting?

a1/a2 = b1/b2 = c1/c2 Signup and view all the answers

What is the condition for two linear equations to be parallel?

a1/a2 = b1/b2 ≠ c1/c2 Signup and view all the answers

What is the condition for two linear equations to be coincident?