How do you solve the system #x+5y=26, 3x-2y=-41# using matrix equation?
Use the first equation,
Use the second,
We have the 2 by 3 augmented matrix, therefore, we may begin elementary row operations.
Multiply the first row by -3, add it to the second row, and put the result in the second row:
Divide the second row by -17:
Multiply the second row by -5 and add it to the first row:
We have an identity matrix on the left, therefore, the solution is in the column vector on the right: