Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

find the values X and Y if L ll M .

Find The Values X And Y If L Ll M class=

Sagot :

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

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

We have two equations and two unknowns in our hands.

[tex]\begin{gathered} 7y-23x=7 \\ 7y+8x=224 \end{gathered}[/tex]

Subtracting the first equation from the second gives us.

[tex]21x=217\Rightarrow x=\frac{217}{21}=\frac{31}{3}[/tex]

We have x now y can easily be found.

[tex]7y+8(\frac{31}{3})=224\Rightarrow7y+\frac{248}{3}=224\Rightarrow7y=224-\frac{248}{3}=\frac{424}{3}\Rightarrow y=\frac{424}{21}[/tex]

There you have it! this is the answer.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.