Question

What is the answer? explanation too
`(2x + 3)/(4 ) = (x + 7)/(3)`

Answer 1

Given:

There are given that the expression:

`(2x+3)/(4)=(x+7)/(3)`

Step-by-step explanation:

To find the value for x, first, we need to perform cross multiplication:

So,

From the given expression;

`\begin{gathered} (2x+3)/(4)=(x+7)/(3) \\ 3(2x+3)=4(x+7)_{} \end{gathered}`

Then,

`\begin{gathered} 3(2x+3)=4(x+7)_{} \\ 6x+9=4x+28 \\ 6x+9-4x-28=0 \end{gathered}`

Then,

`\begin{gathered} 6x+9-4x-28=0 \\ 2x-19=0 \\ 2x=19 \end{gathered}`

Then,

Divide by 2 on both sides of the above equation:

So,

`\begin{gathered} 2x=19 \\ (2x)/(2)=(19)/(2) \\ x=(19)/(2) \\ x=9.5 \end{gathered}`

Final answer:

Hence, the value of x is 9.5