Answer:
option D
Step-by-step explanation:
you have the equations:
[tex]3x-7y=17\\4x=9[/tex]
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:
[tex]\left[\begin{array}{ccc}3&-7&|17\\4&0&| 9 \\\end{array}\right][/tex]
which is option D
