Find the values X and Y if L ll M .

Question

asked Mar 4, 2023 217k views

1 Answer

Zlr · Answer 1 · 2023-03-08T09:17:52+0000

We have got a transversal line here in this question so that means that the following must be true.

$\begin{gathered} (7y-23)=(23x-16) \\ (8x-21)=180-(7y-23)=-7y+203 \end{gathered}$

We have two equations and two unknowns in our hands.

$\begin{gathered} 7y-23x=7 \\ 7y+8x=224 \end{gathered}$

Subtracting the first equation from the second gives us.

$21x=217\Rightarrow x=(217)/(21)=(31)/(3)$

We have x now y can easily be found.

$7y+8((31)/(3))=224\Rightarrow7y+(248)/(3)=224\Rightarrow7y=224-(248)/(3)=(424)/(3)\Rightarrow y=(424)/(21)$

There you have it! this is the answer.