Question

Noah hopes to pick the winning ticket during her math class's raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?

a
2(x - 6) = -35 is equivalent to 2x = -23

b
8(x - 7) = 35 is equivalent to 8x = 28

c
9(x - 6) = -35 is equivalent to 9x = -29

d
4(x - 5) = 35 is equivalent to 4x = 40.

Answer 1

A. 2(x - 6) = -35 is equivalent to 2x = -23

Explanation:

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Answer 2

Option a.

Explanation:

We need to select correct statements form the given options.

`2(x-6)=-35`

`2x-12=-35`

`2x=-35+12`

`2x=-23`

Therefore,
`2(x-6)=-35` is equivalent to
`2x=-23`.

`8(x-7)=35`

`8x-56=35`

`8x=35+56`

`8x=91`

Therefore,
`8(x-7)=35` is not equivalent to
`8x=28`.

`9(x-6)=-35`

`9x-54=-35`

`9x=-35+54`

`9x=19`

Therefore,
`9(x-6)=-35` is not equivalent to
`9x=-29`.

`4(x-5)=35`

`4x-20=35`

`4x=35+20`

`4x=55`

Therefore,
`4(x-5)=35` is not equivalent to
`4x=40`.

Hence, option (a) is correct.