csat-suneung 2013 Q9

csat-suneung · South-Korea · csat__math-humanities Matrices Linear System and Inverse Existence
For the system of equations in $x, y$: $$\left( \begin{array} { c c } a + 1 & a \\ 1 & 1 \end{array} \right) \binom{x}{y} = \binom{-4}{1}$$ the solution satisfies the equation $x + 2y - 4a = 0$. What is the value of the constant $a$?
(1) 1
(2) 2
(3) 3
(4) 4
(5) 5
For the system of equations in $x, y$:
$$\left( \begin{array} { c c } a + 1 & a \\ 1 & 1 \end{array} \right) \binom{x}{y} = \binom{-4}{1}$$
the solution satisfies the equation $x + 2y - 4a = 0$. What is the value of the constant $a$?\\
(1) 1\\
(2) 2\\
(3) 3\\
(4) 4\\
(5) 5