[JEE Advanced 1980] for what values of m does 3x my m 2x 5y 20 have a
For what values of $m$ does $3x+my=m,\ 2x-5y=20$ have a solution with $x>0,y>0$?
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· 2d ago
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Answer: $m>30$ or $m<-\dfrac{15}2$.
$x=\frac{25m}{15+2m},\ y=\frac{2m-60}{15+2m}$; both positive when $15+2m>0$ and $m>30$, or when $15+2m<0$ (then both numerators are negative too) i.e. $m<-\frac{15}2$.
JEE Advanced 1980 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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