Question

what is the answer? explanation too$\frac{2x + 3}{4 } = \frac{x + 7}{3}$

Answer 1

Given:

There are given that the expression:

$\frac{2x+3}{4}=\frac{x+7}{3}$

Explanation:

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

So,

From the given expression;

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

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,

$\begin{gathered} 2x=19 \\ \frac{2x}{2}=\frac{19}{2} \\ x=\frac{19}{2} \\ x=9.5 \end{gathered}$

Final answer:

Hence, the value of x is 9.5