larissa1013
07.10.2019 •
Mathematics
Which classification best describes the following system of equations?
5x+10y+15z=60
2x+4y+6z=60
x+2y+3z=60
inconsistent and dependent
consistent and dependent
consistent and independent
inconsistent and independent
Solved
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Ответ:
Dependent system of equations consists of equations that are same (their graph is the same) but written in different form.
Let us analyze the equations:
5x+10y+15z=60 (1)
2x+4y+6z=60 (2)
x+2y+3z=60 (3)
We can divide the first one by 5 to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=12
which is not the same as x+2y+3z=60.
They are not dependent (they are independent).
We can divide the second one by 2 to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=30 (2) divided by 2
which is not the same as x+2y+3z=60. They are not dependent (they are independent).
The graphs of the three functions are parallel so, they are inconsistent.
Solution: inconsistent and independent
Ответ:
The required value of c is -192.
Step-by-step explanation:
We are given the differential equation:
The solution to the given differential equation is:
Initial condition:
Putting the values, in the solution, we get,
Thus, the required value of c is -192.