Question

Medal and fan!
which product represents the solution to the system?
3x+4y=-2
2x+5y=6

Answer 1

apply matrices.
\[\left[\begin{matrix}3 & 4 \\ 2 & 5\end{matrix}\right]\left(\begin{matrix}x \\ y\end{matrix}\right)=\left(\begin{matrix}-2 \\ 6\end{matrix}\right)\]

Answer 2

I am sure you can follow the rules of matrices to find the solution of x and y now from the previous post

Answer 3

my answer^^

Answer 4

try calculating the inverse of the matrix again

Answer 5

??

Answer 6

\[\left[\begin{matrix}3 & 4 \\ 2 & 5\end{matrix}\right]\left(\begin{matrix}x \\ y\end{matrix}\right)=\left(\begin{matrix}-2 \\ 6\end{matrix}\right)\]
\[\left(\begin{matrix}x \\ y\end{matrix}\right)=\left[\begin{matrix}3 & 4 \\ 2 & 5\end{matrix}\right]^{-1}\left(\begin{matrix}-2 \\ 6\end{matrix}\right)\]

Answer 7

remember the inverse of a matrix for a 2x2 matrix
\[A=\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\]
then
\[A ^{-1}=\frac{ 1 }{ ad-bc }\left[\begin{matrix}d & -b \\ -c & a\end{matrix}\right]\]

Answer 8

feel free to fan me so you can ask me for help straight away when you need it :)