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svetlana [45]
4 years ago
15

The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state

that there is no solution.
[1 -5 -4
0 0 7]
A. X1 = - 4 + 5x2 X2 is free
B. (-4,7)
C. X1 = - 4 +5x2
X2=7
X3 is free
D. There is no solution.
Mathematics
1 answer:
liberstina [14]4 years ago
7 0

Answer:

Option D (There is no solution) is the correct answer.

Step-by-step explanation:

According to the question, the matrix is:

⇒ \left[\begin{array}{ccc}1&-5&-4\\0&0&7\end{array}\right]

The linear equation will be:

⇒ x-5y=-4

and

⇒ 0.x+0.y=7

i.e,

                0=7 (Not possible)

Thus the above given matrix has no solution. So the above is the correct option.

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