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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.

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