Question

Which matrix represents the system of equations below?

Y=10

4x-5y=3

Answer 1

The matrix that represents the system of equations is:

`\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right]`

Explanation:

We will use the first column for x, the second to y and the last for the independent term.

We have:

`y=10\rightarrow0x+1y=10\\\\4x-5y=3`

Then, we can write the matrix to represent the system of equations as:

`\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right]`