Question

Write the matrix equation for the system, and then solve.

Answer 1

Just write out the values. We see we have a `2x` so the value is 2. We have `4y` so the value is 4. And it continues.

You would leave the value in their place.\[\left[\begin{matrix}2 & 4 &|~3 \\ 2 & 3 & |~1\end{matrix}\right]\]

That is how one looks.

Answer 2

then what?

Answer 3

Use the equation: X=(A^-1)B
Then find the determinant: 6-8=-2

(Sorry, this is suppose to have brackets, but I don't know how to do that...)
[2 4 X [3 Then find the inverse: A-^1=1/det [2 4
2 3] Y = 1] 2 3]
A^-1= 1/-2 x [2 4
2 3]
Inverse = [-1 -2
-1 -3/2]

X [-1 -2 [3
Y = -1 -3/2] 1]

x, y = (-5, 4.5)

Answer 4

I'm pretty sure this is right, but I didn't check over my answer.

Answer 5

thats not one of the options

Answer 6

It's not? Could you write out what the options are?

Answer 7

I'm sorry, for the answer, it's actually (-5, -4.5) or (-5, -9/2)

Answer 8

well, i actually did the problem in another lesson and saw its actually -2.5, 2

Answer 9

Oh, okay, I probably messed up somewhere in the middle. Sorry! I'm glad you know the answer though!!

Answer 10

its okay im so glad you actually helped me tho!