Question

I need help with this practiceI am brand new to this type of math, so please, explain step by step (with words as well) on how to solve. take your time no need to rush :) thank you in advance

Answer 1

Given:

There are given the equation:

`\begin{gathered} 5x=55...(1) \\ x+y=23...(2) \\ y-z=2...(3) \end{gathered}`

And,

`(2x+y)/(z)...(4)`

Step-by-step explanation:

According to the question:

First, we need to find the value of x.

So,

From equation (1):

`\begin{gathered} 5x=55 \\ x=(55)/(5) \\ x=11 \end{gathered}`

Now,

Put the value of x into the equation (2):

So,

`\begin{gathered} \begin{equation*} x+y=23 \end{equation*} \\ 11+y=23 \\ y=23-11 \\ y=12 \end{gathered}`

Now,

Put the value y into the equation (3):

So,

`\begin{gathered} \begin{equation*} y-z=2 \end{equation*} \\ 12-z=2 \\ -z=2-12 \\ -z=-10 \\ z=10 \end{gathered}`

Then,

We have the value of x, y, and z.

So,

`\begin{gathered} x=11 \\ y=12 \\ z=10 \end{gathered}`

Now,

Put the value of x, y, and z into the equation (4):

So,

`(2x+y)/(z)=(2(11)+12)/(10)`

Then,

`\begin{gathered} (2x+y)/(z)=(2(11)+12)/(10) \\ =(22+12)/(10) \\ =(34)/(10) \\ =(17)/(5) \end{gathered}`

Final answer:

Hence, the correct option is E.