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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:

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