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intersection point two lines

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STOIKOV

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intersection point of two lines

hello, I'm trying to deduce the "y" coordinate of interseccion point of two lines (intermodulation analysis), whose slope relation is 1:3. The deduced formula is in the picture but still not sure how to get it.



thanks.
 

maybe(?):
if the two equation are
y1=m1*x+q1
y2=m2*x+q2

then

x=(q2-q1)/(-2*m)
y=(q1-q2)/2+q1

with:
m2=3*m1
so m=m1 and m2=3*m

tell me if I anwer to yuor question

Lollo
 

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