How do you solve the system #x-4y-z=-3#, #x+2y+z=5#, and #3x-7y-2z=-6#?
2 Answers
Explanation:
Add first two expressions to eliminate
the z
Multiply the first expression by -2, then add to the third expression to eliminate the z again
Multiply this answer by 2, then add to the first result to eliminate the y.
Substitute the x-value into one of the result formulae and solve for y
Substitute the x-value and the y-value into one of the original formulae and solve for z
Substitute your answers into BOTH of the other original formulae to check your results
Explanation:
Perform the Gauss Jordan elimination on the augmented matrix
I have written the equations not in the sequence as in the question in order to get
Perform the folowing operations on the rows of the matrix
Thus,