The coordinates of points in the table:
x 0 1 2 3 4
y 2 3 4 -5 6
represent some of the solutions of the equation x - y + 2 = 0. Is the given statement true or false? Justify your answer

Solution:

The given equation x - y + 2 = 0

Let us substitute the coordinates

If x = 0 and y = 2

0 - 2 + 2 = 0

0 = 0

If x = 1 and y = 3

1 - 3 + 2 = 0

0 = 0

If x = 2 and y = 4

2 - 4 + 2 = 0

0 = 0

If x = 3 and y = -5

3 - (-5) + 2 = 0

3 + 5 + 2 = 0

10 ≠ 0

If x = 4 and y = 6

4 - 6 + 2 = 0

0 = 0

Therefore, the statement is false.

✦ Try This: The coordinates of points in the table:

x	0	1	2	3	4
y	3	4	5	-8	10

represent some of the solutions of the equation 2x - 3y + 5 = 0. Is the given statement true or false? Justify your answer

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

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NCERT Exemplar Class 9 Maths Exercise 4.2 Problem 5

The coordinates of points in the table: x 0 1 2 3 4 y 2 3 4 -5 6 represent some of the solutions of the equation x - y + 2 = 0. Is the given statement true or false? Justify your answer

Summary:

The statement “The coordinates of points represent some of the solutions of the equation x - y + 2 = 0” is false as it does not satisfy the equation

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