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consider the lines l and k given by the equations l ay x a k 4y x a where a is a number such that l and k have an intersec

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consider the lines l and k given by the equations : l : ay +x =a k : 4y-x = a where a is a number such that l and k have an intersection point. Give me the intersection point of l and k. Give your asnwer as coordinates

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Answer to a math question consider the lines l and k given by the equations : l : ay +x =a k : 4y-x = a where a is a number such that l and k have an intersection point. Give me the intersection point of l and k. Give your asnwer as coordinates

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54 Answers

ay+x = a; x = a-ay

4y-x=a; 4y-a+ay = a

y(4+a)=2a; y=\frac{2a}{4+a}

x=a-a(\frac{2a}{4+a}) = a(1-\frac{2a}{4+a})

(x,y) = (a(1-\frac{2a}{4+a}); \frac{2a}{4+a})

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