Question

Which expressions are equivalent when y = 2 and y = 5? 2 y minus 1 and 3 y minus 5 + y 5 y + 4 and 7 y + 4 minus 2 y y + 7 and y + 2 + y 3 y minus 4 and 3 y minus 2 + y

Answer 1

Answer:

Option b

Explanation:

The question is shown in the attached image

To answer this question, we will simply substitute in the given expressions with the values y=2 and y=5

The correct option will be the one having equal vales in both cases

1. Option a:

At y = 2:

2y - 1 = 2(2) - 1 = 3

3y - 5 + y = 3(2) - 5 + 2 = 3

At y = 5:

2y - 1 = 2(5) - 1 = 10

3y - 5 + y = 3(5) - 5 + 5 = 15

This option is incorrect, since both expressions are not equal at y = 5

2. Option b:

At y = 2:

5y + 4 = 5(2) + 4 = 14

7y + 4 - 2y = 7(2) + 4 - 2(2) = 14

At y = 5:

5y + 4 = 5(5) + 4 = 29

7y + 4 - 2y = 7(5) + 4 - 2(5) = 29

This option is correct, since both expressions are equal at the two vales of y

3. Option c:

At y = 2:

y + 7 = 2 + 7 = 9

y + 2 + y = 2 + 2 + 2 = 6

At y = 5:

y + 7 = 5 + 7 = 12

y + 2 + y = 5 + 2 + 2 = 12

This option is incorrect, since both expressions are not equal at y = 2

4. Option d:

At y = 2:

3y - 4 = 3(2) - 4 = 2

3y - 2 + y = 3(2) - 2 + 2 = 6

At y = 5:

3y - 4 = 3(5) - 4 = 11

3y - 2 + y = 3(5) - 2 + 5 = 18

This option is incorrect, since both expressions are neither equal at y = 2 or y = 5

Hope this helps :)