Answer:
Explanation:
To solve the system of equations represented by the matrices:
[63] [1]
9 4
84 -8
0 -6
1 8
3 6
We want to find the matrix that, when multiplied on both sides, will eliminate one variable and allow us to solve for the remaining variables.
In this case, we can observe that the coefficient of the variable "x" in the first equation is 9, while the coefficient of the variable "x" in the second equation is 4. To eliminate the variable "x", we can multiply the first equation by 4 and the second equation by -9. This will result in a new system of equations:
[63] [1]
36 16
84 -8
0 -6
1 8
-27 -54
Now, the coefficient of the variable "x" in both equations is 144. We can subtract 36 times the second equation from the first equation to eliminate the variable "x". This will result in a new system of equations:
[0] [-92]
36 16
84 -8
0 -6
1 8
-27 -54
Now, we can see that the coefficient of the variable "x" in the first equation is 0. To eliminate the variable "x" completely, we need to multiply the first equation by a matrix that has a 0 in the corresponding position. Since there is no such matrix in the given options, it is not possible to eliminate the variable "x" and solve the system of equations using matrix multiplication.