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lilrariwmb23701
03.10.2019 •
Mathematics
(1 point) linear system - three variables solve the following system of equations using gaussian elimination method. if there are no solutions, type "n" for both x, y and z. if there are infinitely many solutions, type "z" for z, and expressions in terms of z for x and y. 6x + 8y + 72 = -3 - 3x + 6y + 6z = 5 2x – 9y – 32 = 7
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Ответ:
Step-by-step explanation:
Rewrite the equation system as:
Now, write the system in its augmented matrix form:
applying row reduction process to its associated augmented matrix:
Swap R1 and R3, and then Swap R1 and R2:
R3+2R1
3R2+2R1
15R3+20R2
Now we have a simplified system:
From (3):
Replacing (4) in (2)
Finally replacing (5) and (4) in (1)
Ответ: