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33 votes
Find the value of x and y that make the quadrilateral

Find the value of x and y that make the quadrilateral-example-1
User Mattanja
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1 Answer

23 votes
23 votes

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=(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

Find the value of x and y that make the quadrilateral-example-1
User Berenice
by
2.8k points