The coordinates of points given in the table:
x 0 1 2 3 4
y 2 4 6 8 10
represent some of the solutions of the equation 2x + 2 = y. Is the given statement true or false? Justify your answer

Solution:

The equation given is 2x + 2 = y

Let us substitute the points given in the equation

If x = 0 and y = 2

2 (0) + 2 = 2

2 = 2

If x = 1 and y = 4

2 (1) + 2 = 4

4 = 4

If x = 2 and y = 6

2 (2) + 2 = 6

6 = 6

If x = 3 and y = 8

2 (3) + 2 = 8

8 = 8

If x = 4 and y = 10

2 (4) + 2 = 10

10 = 10

Therefore, the statement is true.

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

x	0	1	2	3	4
y	3	6	9	12	15

represent some of the solutions of the equation 3x + 3 = y. 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 Sample Problem 2

The coordinates of points given in the table: x 0 1 2 3 4 y 2 4 6 8 10 represent some of the solutions of the equation 2x + 2 = y. 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 2x + 2 = y” is true

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