Question

Use the matrix method to solve the system of equations 2x + 4y = 8 and 6x + 3y = -3. The resulting matrix is:

1 0 -2

0 1 3




1 0 2

0 1 3







0 1 -2

1 0 3

Answer 1

So we are given the system:

`2x+4y=8\\ 6x+3y=-3`
Written in matrix form we get:

`\left[\begin{array}{cc}2&4\\6&3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}8\\-3\end{array}\right]`
We compute the solution like this:

`image`
The solution is :

`\left[\begin{array}{c}2\\-3\end{array}\right]`