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Andreas93 [3]
2 years ago
6

The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution. y = 0 y =

2 y = 3 z = 0 z = 2 z = 3 3x-2y+3z=0 (1) -3x - 5y - 5z= -21 (2) x=2 (3)
Mathematics
2 answers:
madreJ [45]2 years ago
8 0
So we are given a system:
3x-2y+3z=0\\
-3x - 5y - 5z= -21
Substitute x = 2 we get the system:
-2y+3z=-6\\
- 5y - 5z= -15
Multiply the first equation by -5 and the second by 2 we get the system:
10y-15z=30\\
- 10y - 10z= -30
Adding the two equations we get :
-25z=0\text{ then}z=0.
We find the value of y by using any of the other equations like this:
-2y=-6\\y=3.
Final solution:
z=0,y=3
Maslowich2 years ago
7 0

Answer:

y = 3

z = 0

Step-by-step explanation:

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