Question

Find the value of x and y that make the quadrilateral

Answer 1

The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

$4x+6=7x-3$

We can solve that equation for x

$\begin{gathered} 4x+6=7x-3 \\ \\ 3x=9 \\ \\ x=\frac{9}{3}=3 \end{gathered}$

Hence, x = 3. Now let's solve the other equation

$\begin{gathered} 4y-3=3y+1 \\ \\ y=4 \end{gathered}$

Then the value of y is 4.

Final answers:

x = 3

y = 4