Question

What's the answer for proportions 4/n+2=7/n

Answer 1

`x=-(14)/(3)`

Step-by-step explanation

`(4)/(n+2)=(7)/(n)`

we need to solve for n

Step 1

cross multiply

`\begin{gathered} (4)/(n+2)=(7)/(n) \\ 4\cdot n=7(n+2) \\ 4n=7n+14 \\ \end{gathered}`

Step 2

subtract 4n in both sides

`\begin{gathered} 4n=7n+14 \\ 4n-4n=7n+14-4n \\ 0=3n+14 \end{gathered}`

Step 3

subtract 14 in both sides,

`\begin{gathered} 0=3n+14 \\ 0-14=3n+14-14 \\ -14=3n \end{gathered}`

Step 4

Finally, divide both sides by 3

`\begin{gathered} (-14)/(3)=(3n)/(3) \\ n=-(14)/(3) \end{gathered}`

I hope this helps you