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Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation. Is the given statement true or false? Justify your answer

Solution:

We know that

A graph of a linear equation in two variables is constructed by joining the points that are the solutions of the equations.

So the point on the graph will be the solution of the linear equation

Therefore, the statement is false.

✦ Try This: The point (0, 3) lies on the graph of the linear equation 3x + 6y = 18. Is the given statement true or false? Justify your answer

The linear equation given is 3x + 6y = 18

The point given is (0, 3)

Let us substitute it in the equation

3 (0) + 6 (3) = 18

18 = 18

Therefore, the statement is true.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.2 Problem 6

Summary:

The statement “Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation” is true

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