ANSWER
The solution is where the two graphs intersect, which is
![(-3,1).](https://tex.z-dn.net/?f=%28-3%2C1%29.)
EXPLANATION
The given system of equations are
![y = \frac{1}{3} x + 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%202)
and
![y = - x - 2](https://tex.z-dn.net/?f=y%20%3D%20-%20x%20-%202)
We need to graph the two equations.
Let us graph
![y = \frac{1}{3} x + 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%202)
first.
We need at least two points.
You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.
When
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
![\Rightarrow \: y = \frac{1}{3} (0) + 2](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3A%20y%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%280%29%20%2B%202)
![\Rightarrow y = 0 + 2](https://tex.z-dn.net/?f=%20%5CRightarrow%20y%20%3D%200%20%2B%202)
![\Rightarrow y = 2](https://tex.z-dn.net/?f=%20%5CRightarrow%20y%20%3D%202)
So this gives us the ordered pair,
![(0,2)](https://tex.z-dn.net/?f=%280%2C2%29)
When
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
we get,
![0= \frac{1}{3} x + 2](https://tex.z-dn.net/?f=0%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%202)
![\Rightarrow \: - 2 = \frac{1}{3} x](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3A%20-%202%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x)
![\Rightarrow \: - 2 \times 3= x](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3A%20-%202%20%5Ctimes%203%3D%20x)
![\Rightarrow \: -6= x](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3A%20-6%3D%20x)
This also gives the ordered pair
![(-6,0).](https://tex.z-dn.net/?f=%28-6%2C0%29.)
We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.
For the second line
![y = - x - 2](https://tex.z-dn.net/?f=%20y%20%3D%20-%20x%20-%202)
We again find the intercepts and plot them.
When
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
![y = - 0 - 2](https://tex.z-dn.net/?f=y%20%3D%20-%200%20-%202)
![\Rightarrow \: y = - 2](https://tex.z-dn.net/?f=%5CRightarrow%20%5C%3A%20y%20%3D%20-%202)
This gives the ordered pair
![(0,-2)](https://tex.z-dn.net/?f=%280%2C-2%29)
Also, when
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
then we have,
![0 = - x - 2](https://tex.z-dn.net/?f=0%20%3D%20-%20x%20-%202)
![2 = - x](https://tex.z-dn.net/?f=%202%20%3D%20-%20x)
![x = - 2](https://tex.z-dn.net/?f=x%20%3D%20-%202)
Then we again have the ordered pair,
![(-2,0)](https://tex.z-dn.net/?f=%28-2%2C0%29)
We plot these two points on the same graph sheet to obtain the red graph above.
The intersection of the two lines is
![(-3,1)](https://tex.z-dn.net/?f=%28-3%2C1%29)
You will get good grades so don't worry much.
Answer:
Step-by-step explanation:
272.155 kg
Answer:
320
Step-by-step explanation:
6400 x minute = 6400/60 = 106.66666666666666666666666666667 ft/h
*3=320ft
320ft to miles = 0.0606061
Answer:
Step-by-step explanation:
B
Answer:
a. x=2, y=13
b. x=14, y=25
c. x=−4, y=13
Step-by-step explanation: