Question

Midpoints B is the midpoint of AC , find x.

Answer 1

Given:-

$\red{➤}\:$$\sf AB = 5x$

$\red{➤}\:$$\sf BC = 3x+4$

To Find:-

$\orange{☛}\:$$\sf Value \:of \:x$

Solution:-

Since B is midpoint of AC, therefore -

$\\\quad\quad\quad\quad\sf AB = BC$

$\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered}$

Answer 2

B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2