Consider the given equations:
(Equation 1)
(Equation 2)
(Equation 3)
Adding equations 1 and 3, we get


So, we get
(Equation 4)
Multiplying equation 3 by '6', we get
(Equation 5)
Subtracting equation 5 from equation 2, we get


(Equation 6)
Multiplying equation 4 by '21' and adding it to equation 6, we get


So, z = -5
Since,

So, y=-5
Now,

So, x = -4
Therefore, x = -4, y= -5 and z= -5 are the solutions to the given equations.
Answer:
6. -3
7. 16
8. -39
Step-by-step explanation:
Answer:
m+6n
Step-by-step explanation:
Let number of men who attended last year=m
Let number of women who attended last year=n
This year, we expect Six times the amount of women attendance last year =6 X n = 6n
The same number of men, m will be expected this year
Therefore, Number of Expected Attendees
= Number of Men + (Six Times the Number of Women)
=m+6n
We can expect (m+6n) people to be in attendance this year.
Answer: 115 degrees
Step-by-step explanation: By the property of alternate interior angles, they are congruent.
<h3>
Answer: Choice C</h3>
Why isn't choice C a function? It's because we have the input x = 4 lead to more than one output at the same time (y = 5 and y = -5). A function must have all allowed inputs lead to exactly one output.
The diagram for choice C shows we have the points (4,5) and (4,-5). If we plotted those two points, then a vertical line forms, which will show this relation fails the vertical line test.
Choices A, B, and D do not have this happen where a certain input leads to multiple outputs at once; therefore, these are all functions. For the tables A and D, note there aren't any repeated x values. If you were to convert choice C into table form, then you would have the x value 4 repeat itself.