Question

Multiple Choice!

Which linear system of equation does the matrix represent ? The picture of the equation is below. I need help, Thank you in advance :)

Answer 1

A:

Answer 2

B:

Answer 3

c:

Answer 4

D:

Answer 5

\(\begin{bmatrix}
\color{red}{x}&\color{red}{y}&=\\
\hline\\
4&-7&|&-12\\
-14&4&|&4
\end{bmatrix}\)

what do you think?

Answer 6

D?

Answer 7

that's what the columns represent in a matrix set, in relation to a system of equations

Answer 8

the 1st column will be the column containing the "x" variables, the 2nd will be the "y" variables

Answer 9

Of what you just showed me ^ Is what your talking about?

Answer 10

yeap

Answer 11

Oh so it will be C, because that shows the numbers in the exact order in the x place and the y place. correct?

Answer 12

Im wrong. hold on

Answer 13

so 4 -7 | 12 really just means 4x -7y = 12

Answer 14

Its B because it s -12 and its a positive 4

Answer 15

oh so its not negative

Answer 16

So I was right? with C?

Answer 17

ohhh l... one sec.. I do have a typo.... is negative 12 :(

Answer 18

so 4 -7 | -12 really just means 4x -7y = -12

Answer 19

So its B lol because that has the -12 and positive 4

Answer 20

and it also listed the proper x and y ( the correct numbers)

Answer 21

anyhow the matrix arrangement is just like so \(\begin{bmatrix}
4&-7&|&-12\\
-14&4&|&4
\end{bmatrix}\implies
\begin{array}{llll}
4x&-7y&=&-12\\
-14x&+4y&=&4
\end{array}\)

Answer 22

yes, it lists just the coefficients for each equation, in the matrix arrangement

Answer 23

So I was correct ! Yay :D Thank you!

Answer 24

yw