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Nutka1998 [239]
3 years ago
9

Solve the system of equations.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

<u>Option b. (x = 3, y = 20, z = -14)</u>

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]

∴A = \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1

Ax = \left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3

Ay = \left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\

Az = \left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14

∴ x = Ax/A = -3/-1 = 3

   y = Ay/A = -20/-1 = 20

   z = Az/A = 14/-1 = -14

<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>

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Option C. 1,024 bacteria

Step-by-step explanation:

We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;

So, Number of bacteria after one hour = 4 * 2 = 8

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     Number of bacteria after seven hours = 256 * 2 = 512

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Therefore, 1,024 bacteria exist in the culture after 8 hours .    

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