Question

Anja is substituting t=5 and t=9 to determine if the two expressions are equivalent. 4(2t-5) 10t-38 Which statement is true?

A) Both expressions are equivalent when t=5 but the two expressions are not equivalent.
B) Both expressions are equivalent when t=5 and the two expressions are equivalent.
C) Both expressions are equivalent when t=9, but the two expressions are not equivalent.
D) Both expressions are equivalent when t=9, and the two expressions are equivalent.

Answer 1

The answer is C because when t=9, the equations are equal, but the expressions themselves are not equal to each other.

Answer 2

Correct option is C

Explanation:

Given the two expression

`4(2t-5)` and
`(10t-38)`

Anja is substituting t=5 and t=9 to determine if the two expressions are equivalent. we have to choose the correct statement.

First exp: 4(2t-5)

Substitute

t=5: 4(2(5)-5)=4(10-5)=20

t=9: 4(2(9)-5)=4(18-5)=4(13)=52

Second exp: 10t-38

t=5: 10(5)-38=50-38=12

t=9: 10(9)-38=52

Both expressions are equivalent when t=9, but the two expressions are not equivalent.

Hence, correct option is C