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  • The coordinates of points in the table:

Write whether the following statement is True or False. Justify your answer.

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.

Answers (1)

Answer:

False

Solution:

The given equation is x – y + 2 = 0

Put x = 0 in the given equation

0 – y + 2 = 0

y = 2, i.e., the point is (0, 2)

Put x = 1 in the given equation

1 – y + 2 = 0

y = 3, i.e., the point is (1, 3)

Put x = 2 in the given equation

2 – y + 2 = 0

4 = y, i.e., the point is (2, 4)

Put x = 3 in the given equation

3 – y + 2 = 0

5 = y, i.e., the point is (3, 5)

Put x = 4 in the given equation

4 – y + 2 = 0

6 = y, i.e., the point is (4, 6)

The coordinates of points in the table:

x 0 1 2 3 4
y 2 3 4 -5 6

It is given that the above represents some of the solutions of the equation x – y + 2 = 0.

Here all the points satisfy the given equation except (3, -5).

Therefore the given statement is false because one of the table entry is an incorrect solution for the given equation.

Posted by

infoexpert21

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