examine whether the following system of equations are consistent or inconsistent and if consistent find the complete solution
2x+3y + z = 9 x+2y+3z = 6 3x + y + 2z = 8
Answers
Answered by
1
Answer:
Given,
x+2y+3z=1
2x+y+3z=2
5x+5y+9z=4
we have,
determinant,
∣A∣=
∣
∣
∣
∣
∣
∣
∣
∣
1
2
5
2
1
5
3
3
9
∣
∣
∣
∣
∣
∣
∣
∣
∣A∣=1(9−15)−2(18−15)+3(10−5)
∣A∣=−6−6+15
∣A∣=3
∣A∣
=0
∣A∣= determinant of coefficient matrix
=0
Therefore there exists a unique solution ( only one solution)
Answered by
0
Answer:
8
Step-by-step explanation:
2x + 3y+z= 9x+2y+3z=6= 3x+y+2z=8=2x+9x+3x=3y+2y+y=z+3z+2z=14x+6y+6z=26 x+y+z
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