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  4. If the system of linear equations x + 2y + 3z = 6 x + 3y + 5z = 9 2x+ 5y + pz = q is consistent and has infinite number of solutions, then (p +q) is equal to

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Q. If the system of linear equations
$x + 2y + 3z = 6$
$x + 3y + 5z = 9$
$2x+ 5y + pz = q$
is consistent and has infinite number of solutions, then (p +q) is equal to

Determinants

Solution:

$p=8 ; q=15 $
$ \therefore(p+q)=23$