Question

Use a matrix to find the solution to the system of equations.
-8x - 8y = -16
6x - 9y = -108

Answer 1

\[\left[\begin{matrix}-8 & -8 \\ 6 & -9\end{matrix}\right] \left(\begin{matrix}x \\ y\end{matrix}\right) = \]\[\left(\begin{matrix}-16 \\ 108\end{matrix}\right)\]

Answer 2

now you need to find inverse of first matrix
or are you willing to involve determinants also

Answer 3

how do you find the inverse of a matrix?

Answer 4

many ways tough if you could tell me which method you have been using so far to solve such questions

Answer 5

i honestly dont know :/

Answer 6

i've been sick for 2 weeks and im so far behind i dont know what im doing..

Answer 7

can you involve determinants also or no

Answer 8

like the answer choices are as follows
(–6, 8)
(6, 8)
(8, –6)
(6, –8)

Answer 9

What is a determinant?

Answer 10

i know they would be of this form.....because finally it will give x and y

Answer 11

I'm sorry if im being difficult :/ im honestly just so lost im kind of panicing

Answer 12

just take out time and spend around 2 hrs on text i am posting
believe me this will clear your concepts and you will be able to solve any such equations

Answer 13

Thanks so much, lifesaver! haha

Answer 14

:)

Answer 15

if you are clear with basic matrices concepts you can jump to inverse part in the text
but if you have time then i suggest go through it fully

Answer 16

Alright thanks a lot honestly