Answer:
24.69
Step-by-step explanation:
For no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
We have the system of equations:
x + y + z = 2 …(1)
a x + b y + c z = 10 …(2)
x - 2 y + z = 4 …(3)
a. The system has no solution.
Put a = b = c = -1 in (2)
We get:
- x - y - z = 10
Now add (1) and (2)
0 = 12
which is not possible.
So, no solution.
b. The system has exactly one solution.
a = 1 and b = c = 0
We have the equations as:
x + y + z = 2 …(1)
x = 10 …(2)
x - 2 y + z = 4 …(3)
c. The system has infinitely many solutions.
a = b = c = 5
We will have the equations:
x + y + z = 2 …(1)
5 x + 5 y + 5 z = 10 …(2)
x - 2 y + z = 4 …(3)
Therefore, we get that, for no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
Lear more about system of linear equations here:
brainly.com/question/14323743
#SPJ9
Answer: P(blue) total number of squares / number of blue squares
(A)
Step-by-step explanation:
Answer:
-48 ÷ 12
Step-by-step explanation:
account balance changed over a year = -$48
In a year, there are 12 months. Above statement can also be written as
account balance changed in 12 months = -$48
we have to find monthly change, so we divide LHS and RHS by 12
account balance changed in 12 /12 months = -$48/12
Thus, account balance changed in 1 months = -$48/12
which is represented option 4 i.e -48 ÷ 12