Step-by-step explanation:
x+y=7 _ eqn1
x-y=3_ eqn2
add eqn1 and eqn2
x+y=7
+ x-y=3
= 2x= 10
x=5
x+y=7
5+y=7
y=7-5
y=2 proved
Answer:
See Explanation
Step-by-step explanation:
Given
![Initial = 8](https://tex.z-dn.net/?f=Initial%20%3D%208)
(every hour)
Required
Explain why it is linear
First, we need to determine the equation that represents the scenario
Let x be the number of hours worked and y be the number of figurines at x hours.
The equation is determined as follows:
![y = Initial\ Figurines + Increment * x](https://tex.z-dn.net/?f=y%20%3D%20Initial%5C%20Figurines%20%2B%20Increment%20%2A%20x)
This gives:
![y = 8 + 3 * x](https://tex.z-dn.net/?f=y%20%3D%208%20%2B%203%20%2A%20x)
![y = 8 + 3x](https://tex.z-dn.net/?f=y%20%3D%208%20%2B%203x)
Reorder
![y = 3x + 8](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%208)
A linear equation is of the form
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
By comparison,
is equivalent to ![y = 3x + 8](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%208)
<em>Hence, we can conclude that the situation is linear</em>
Answer:
All Real Numbers or (-∞,∞) for both domain and range
Step-by-step explanation:
The line is growing infinitely in both directions, so it will end up reaching every x and y value in both directions
Answer:
9 and -2
Step-by-step explanation:
9 - 2 = 7
9 * -2 = -18