Linear Algebra

The solution(s) to the equations
2x + 3y = 1
x- y = 4
4x - y = a
will exist if a is equal to

A.	-33
B.	0
C.	9
D.	12
	Answer : D Explanation : Equations are consistent when, $\begin{vmatrix} 2&3&-1\\1&-1&-4\\4&1&a \end{vmatrix}=0$ $\Rightarrow$ 5a - 7 - 52 = 0 $\Rightarrow a =\frac{59}{5}=11\frac{4}{5}$ Write your comments here: Updating your Comments.. Updating your Comments.. Report Error
	Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here.

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