SOLUTION: Solve the system of linear equations.
x-4y+z=11
4x+y-2z=5
x-4y+2z=9
A.The unique solution to the system is
​(Type an exact answer in simplified​ form.)
B.
A
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Question 1086861: Solve the system of linear equations.
x-4y+z=11
4x+y-2z=5
x-4y+2z=9
A.The unique solution to the system is
(Type an exact answer in simplified form.)
B.
All three equations describe the same plane.
C.
The system has infinitely many solutions. The solution described in terms of variable z is=
D.
There is no solution to the system.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
x-4y+z=11 [1]
4x+y-2z=5 [2]
x-4y+2z=9 [3]
Subtract [1] from [3]:
This gives z = -2
Substitute this value into [2] and solve for y in terms of x:
4x + y + 4 = 5
y = 1 - 4x
Use either [1] or [3] to solve for y:
x - 4(1 - 4x) - 2 = 11
17x = 17
x = 1
Thus y = 1 - 4*1 = -3
Ans A. The unique solution is 1, -3, -2
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