Question

Which matrix represents the system of equations shown below?



Answer 1

Here, Matrix pattern should be: [ x, y ] [ b ]

So, It would be: [ 3 -7 ] [ 17 ]
[ 4 0 ] [ 9 ]

In short, Your Answer would be: Option D

Hope this helps!

Answer 2

option D

Explanation:

you have the equations:

`3x-7y=17\\4x=9`

the first column of the matrix must be the values of x on each equation, for the first equation we have a 3 and for the second equation we have a 4, so the first column is:

3

4

now, the socond column of the matrix must be the y-values on each equation, for the first equation is -7 and for the second since there is no y term, is 0:

-7

0

then the third column is the independent terms on each equation, for the first is 17 and for the second is 9

| 17

| 9

putting together the matrix:

`\left[\begin{array}{ccc}3&-7&|17\\4&0&| 9 \\\end{array}\right]`

which is option D