Find the values of \( p \) and \( q \) for which the following (IV system of equations has infin...

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Find the values of \( p \) and \( q \) for which the following
(IV system of equations has infinitely many solutions.
(i) \( (2 p-1) x+3 y=5 ; \quad 3 x+(q-1) y=2 \)
(ii) \( 2 x+3 y=7 \);
\[
(p+q+1) x+(p+2 q+2) y=4(p+q)+1
\]
(iii) \( 2 x+3 y=7,(p+q) x+(2 p-q) y=21 \)
ing
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