A) Consistent with unique solution
B) Inconsistent
C) Consistent with infinitely many solutions
D) None of the above
Correct Answer: A
Solution :
[a] Consider first two equations: \[2x+3y=-4\] and \[3x+4y=-6\] We have \[\Delta =\left| \begin{matrix} 2 & 3 \\ 3 & 4 \\ \end{matrix} \right|=-1\ne 0\] \[{{\Delta }_{x}}=\left| \begin{matrix} -4 & 3 \\ -6 & 4 \\ \end{matrix} \right|=2\] and \[{{\Delta }_{y}}=\left| \begin{matrix} 2 & -4 \\ 3 & -6 \\ \end{matrix} \right|=0\] \[\therefore x=-2\] and \[y=0\] Now this solution satisfies the third, so the equations are consistent with unique solution.
You need to login to perform this action.
You will be redirected in
3 sec
