1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mekhanik [1.2K]
3 years ago
11

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0
ANSWER

The solution is where the two graphs intersect, which is
(-3,1).

EXPLANATION

The given system of equations are
y = \frac{1}{3} x + 2
and

y = - x - 2

We need to graph the two equations.

Let us graph

y = \frac{1}{3} x + 2
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

\Rightarrow \: y = \frac{1}{3} (0) + 2

\Rightarrow y = 0 + 2

\Rightarrow y = 2

So this gives us the ordered pair,

(0,2)

When
y = 0
we get,

0= \frac{1}{3} x + 2

\Rightarrow \: - 2 = \frac{1}{3} x

\Rightarrow \: - 2 \times 3= x

\Rightarrow \: -6= x
This also gives the ordered pair

(-6,0).

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

We again find the intercepts and plot them.

When
x = 0

y = - 0 - 2

\Rightarrow \: y = - 2

This gives the ordered pair

(0,-2)

Also, when
y = 0

then we have,

0 = - x - 2

2 = - x

x = - 2

Then we again have the ordered pair,

(-2,0)

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)


You will get good grades so don't worry much.

You might be interested in
Convert the measurement.<br> 56.8 grams= ounces
Inessa05 [86]

Answer:

2.003561 ounces or 2.0 rounded

Step-by-step explanation:

7 0
2 years ago
In the United States, a person eats more than 40,000 pounds of bread in a lifetime if she or he lives to be 80 years old. Does t
Shalnov [3]
Look at some shorter periods of time to decide whether their reasonable. Do that by simplifying the fraction. . . . . 40,000 pounds / 80 years = 4,000 pounds / 8 years = 2,000 pounds (1 ton) / 4 years = 1,000 pounds / 2 years (have you decided yet ? Well, simplify it some more) 1,000 pounds / 2 years = 500 pounds per year = almost 1 and 1/2 pounds of bread every day of your life. NOW what do you think ? Make sense ?
8 0
3 years ago
Estimate each product :<br> 1/9 x 83
Gnom [1K]

Answer:

8.5

Step-by-step explanation:

1/9=0.1111111111111

0.1111111111111=0.1

83=80 or 85

0.1*85=8.5

3 0
3 years ago
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being "very satifactory."
vodomira [7]
The total number of customers who took the survey was 320. You can write it out like this :
45 144
—- = ——
100 ?
Then you can cross multiply (144 x 100 = 14,400) then divide that answer by 45 (14,400 \ 45 ) The answer you get it 320!!
7 0
3 years ago
Heather is my planning a dessert display. She needs 6 ounces of strawberries for each dessert. Part A Heather is not sure how ma
Fed [463]

Answer:

Part A: y=6x

Part B: 36=6x

divide both sides by 6

(36/6 =6) and (6/6)

6=x

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter. What were Phil's net w
    10·2 answers
  • If 3x is one factor of 3x^2-9x what is the other factor
    10·1 answer
  • Is 1/4 greater than 3/4
    14·1 answer
  • What is Surface the Area
    14·1 answer
  • Help me please with this question
    11·2 answers
  • The school band bought cheese and pepperoni pizzas in the ratio represented in the tape diagram for their
    14·1 answer
  • The Five Fives Challenge
    5·1 answer
  • 0.75 convercion a mixto
    13·1 answer
  • Dave says:
    8·2 answers
  • A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!