187k views
4 votes
Find the values of the variables x and y in the given parallelogram 2x 3x Y + 4 x = 4, y = 8 b x=8y = 4 XEB, y = 6 x= 6 y = 3 d

User Zagoa
by
5.2k points

1 Answer

2 votes

\begin{gathered} \text{The given diagram is a parallelogram,} \\ so,\text{ the length of diagonal will be equal.} \\ \text{The 1st diagonal is}\Rightarrow2x=y \\ \text{The 2nd diagonal is}\Rightarrow y+4=3x \\ Substitute\text{ the y=2x in the second diagonal equation} \\ 2x+4=3x \\ x=4 \\ \text{Now, x=4 in the first diagonal equation} \\ y=2*4=8 \\ So,\text{ the variable are} \\ x=4 \\ y=8 \end{gathered}

User Brian Vo
by
5.6k points