Solve the system of equations by substitution what is the solution for x when 2x + y = 1 and 4x + 2y = -1
1 answer:
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Answer:
81 sheep were there on the farm
Step-by-step explanation:
Consider the provided information.
Let x represents the number of goats.
y represents the number of cows.
z represents the number of sheep.
Therefore, the total number of animals are x+y+z
2/5 of the animals were goats. This can be written as:
There were three times as many sheep than cows.
There were 45 more goats than cows,
Substitute the value of x and z in equation 1.
Hence, there are 27 cows.
Substitute the value of y in
Therefore, there are 72 goats.
Substitute the value of y in
Thus, there are 81 sheep.
Answer:
c. 4 and 42
Step-by-step explanation:
Given
-- independent variables
---- observations
Required
The numerator and denominator degrees of freedom
The denominator degrees of freedom is:
For the numerator, we have: