Using Cramer's rule solve the system of equations.
Problem 1 :
-x + y = -5
-5x - 2y + 6z = -5
-4x - y + 2z = 8
Problem 2 :
-4x - 2y - z = -11
-x - 2y = -6
x - y - 5z = 5
Problem 3 :
5x + 2y + 2z = 9
-6x - 4y - 3z = -19
x - 2y = -9
Problem 4 :
4a + 4c = 4
4a - 3b + c = -14
-2a - 3b - 5c = -20
Problem 5 :
4x - 4y + 2z = -14
4x + 2y = 14
-3y + z = -10
1) So, the values of x, y and z are -3, -8 and -6 respectively.
2) So, the values of x, y and z are 2, 2 and -1 respectively.
3) So, the values of x, y and z are -1, 4 and 3 respectively.
4) System is consistent and it has infinitely many solution.
5) System is inconsistent and it has no solution
Use Cramer's Rule to solve each system.
Problem 1 :
x - 5y = -5
-4x - 2y = 20
Problem 2 :
-x + 5y = 2
x - 2y = -2
Problem 3 :
2x + 2y = 0
4x - y = -20
Problem 4 :
3x - 4y = 1
-5x + 2y = 3
Problem 5 :
-x - y = -1
3x + 3y = 3
Problem 6 :
-5x + 5y = 10
-2x + 2y = -4
1) Solution is (-5, 0).
2) Solution is (-2, 0).
3) Solution is (-4, 4).
4) Solution is (-1, 1).
5) The system is consistent and it has infinitely many solution.
6) So, the system is inconsistent and it has no solution.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM