# Find the value of p and q for which the following system of equation has infinite number of solution: 2x+3y =7 And (p +q )x + (2p -q )y =21

Solution: The given system of equation will have infinite number of solutions , if

$\\ 2/p+q=3/2p-q=7/21 \\ \\\Rightarrow 2/p+q=3/2p-q=1/3 \\ \\\Rightarrow 2/p+q=1/3 ;and ;3/2p-q=1/3\\ \\\Rightarrow p+q=6$

$\\ \Rightarrow 2p-q=9\\ \\\Rightarrow p=15 ; and ;q=1$

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