System of linear equation 5x + ky = 5, 3x + 3y = 5 is consistent,… - Vidyadip

Question

System of linear equation 5x + ky = 5, 3x + 3y = 5 is consistent, if :

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Answer

(D) System of linear equation is consistent if
$
\begin{aligned}
\left|\begin{array}{cc}
5 & k \\
3 & 3
\end{array}\right| & \neq 0 \\
15-3 k & \neq 0 \\
3 k & \neq 15 \\
k & \neq 5
\end{aligned}
$

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