Question

Find the matrix equation that represents the system of equations: 3x=5y+2 and y=15-6x

Answer 1

Start by putting each equation into the form: \[ax + by = c\]

Answer 2

So: 3x-5y=2
-6x+y=15

Answer 3

Correct.
Now the matrix form is:

\[\begin{bmatrix}3 & 5 & 2 \\ -6 & 1 & 15\end{bmatrix}\]

Answer 4

But how do I make the matrix equation out of that?

Answer 5

Oh, they want you to write:

\[\begin{bmatrix}3&5\\ -6&1 \end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}2\\15 \end{bmatrix}\]

Answer 6

make a sl ut out of that..!

Answer 7

Do you mean row-reduce?

Answer 8

Nope I got it now thank you so much!