SOLUTION: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. x + y + z = 9 2x - 3y + 4z = 7 answers: Cramer's rule

Algebra ->  Matrices-and-determiminant -> SOLUTION: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set. x + y + z = 9 2x - 3y + 4z = 7 answers: Cramer's rule       Log On


   



Question 687065: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
x + y + z = 9
2x - 3y + 4z = 7
answers:
Cramer's rule does not apply since D = 0; cant be done
Cramer's rule does not apply since D = 0; z+34/5, 2z+11/5,5
Cramer's rule does not apply since D = 0; -7z+34/5, 2z+11/5,5
Cramer's rule does not apply since D = 0; -7z+34/5, 2z-11/5,5
My final answer was D. I don't think it is correct though I was confused. Can somone please show me their steps and the correct answer?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x + y + z = 9
2x - 3y + 4z = 7

has this coefficient matrix

111
2-34


but this matrix is NOT square. So the determinant cannot be computed, which means that you can't use Cramer's Rule here.