Question

Noa 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?
4(x-5)=35 is equivalent to 4x=40
8(x-7)=35 is equivalent to 8x=28
2(x-6) = -35 is equivalent to 2x=-23
9(x-6)=-35 is equivalent to 9x=-29

Answer 1

Answer:

3rd option is the correct answer

Answer 2

Answer: The winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$.

Step-by-step explanation:

Let's check all the options

$4(x-5)=35$ is not equivalent to $4x=40$

$\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55$

$8(x-7)=35$ is not equivalent to $8x=28$

$\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91$

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

$\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23$

$9(x-6)=-35$ is not equivalent to $9x=-29$

$\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5$

Thus, the winning ticket is $2(x-6)=-35$ is equivalent to $2x=-23$.