Question

3. Select ALL the equations that have the same solution as 2x - 5 = 15:A. 2x = 10B. 2x = 20C. 2(x - 5) = 15D. 2x - 20 = 0E. 4x - 10 = 30F. 15 = 5 - 2x

Answer 1

To answer this question, first, we have to solve 2x-5=15 for x, and then solve every equation for x.

Solving 2x-5=15 for x, we get:

`\begin{gathered} 2x-5=15, \\ 2x=20, \\ x=10. \end{gathered}`

Now, solving for x:

A)

`\begin{gathered} 2x=10, \\ x=5. \end{gathered}`

B)

`\begin{gathered} 2x=20, \\ x=10. \end{gathered}`

C)

`\begin{gathered} 2(x-5)=15, \\ 2x-10=15, \\ 2x=25, \\ x=(25)/(2)\text{.} \end{gathered}`

D)

`\begin{gathered} 2x-20=0, \\ 2x=20, \\ x=10. \end{gathered}`

E)

`\begin{gathered} 4x-10=30, \\ 4x=40, \\ x=10. \end{gathered}`

F)

`\begin{gathered} 15=5-2x, \\ 10=-2x, \\ x=-5. \end{gathered}`

Answer: Options B, D, and E.