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th483
30.07.2019 •
Mathematics
Given the system of equations 2 x − 3 y − 9 z = 9 x + 3 z = 3 − 3 x + y − 4 z = − 10 (a) determine whether the system is inconsistent or dependent; your answer is (input inconsistent or dependent) dependent correct (b) if your answer is dependent in (a), find the complete solution. write x and y as functions of z .
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Ответ:
Dependent
Step-by-step explanation:
We are given that system of equations
Equation III multiply by 3 and then add to equation I then we get
Divided by -7 then we get
Now , obtained equation subtract from equation II then we get
0=0
Hence, equation II is a linear combination of equation I and equation III.
Therefore, system is dependent because system has infinite solutions.
Substitute the value of x in equation I then we get
Ответ:
Let's add our values:
78+79+80+80+89+89+92+93+94+95+95+95 = 1059.
There are 12 values. So...:
1059/12 = 88.25. It says to round to the nearest tenth. That would be 88.3.