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marin [14]
3 years ago
15

​ 21x+6y=42 7x+2y=14 ​

Mathematics
2 answers:
saw5 [17]3 years ago
6 0

For this case we have the following system of equations:

We multiply the second equation by -3:

Thus, we observe that the second equation is equivalent to the first, if we add both we get:

The equality is fulfilled. The lines are on top of each other.

Answer:

Infinite solutions

Vesna [10]3 years ago
3 0
Infinite solutions

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Please help me i need to finish this i’m tired (please use grid if you can) asap!!!
jasenka [17]

The linear equation is y = 4x - 4

And the graph of the linear equation can be seen in the image below.

<h3>How to graph the last line?</h3>

It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.

Remember that a general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:

y = a*x - 4

Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:

4 = a*2  - 4

4 + 4 = a*2

8 = a*2

8/2 = a = 4

Then the slope is 4, and the linear equation is:

y = 4x - 4

The graph is below.

If you want to learn more about linear functions:

brainly.com/question/4025726

#SPJ1

8 0
2 years ago
Which product is modeled by the number line below?
bagirrra123 [75]

Answer:

2. (-2)(4)

Step-by-step explanation:

3 0
4 years ago
Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove
Roman55 [17]

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

\text{Distance}=\text{Rate}\times \text{Time}

x=12r

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be r+20.

x=8(r+20)

Upon equating both distances, we will get:

12r=8(r+20)

12r=8r+160

12r-8r=8r-8r+160

4r=160

r=\frac{160}{4}

r=40

Upon substituting r=40 in equation x=12r, we will get:

x=12r\\\\x=12(40)\\\\x=480

Therefore, Maya live 480 miles away from the mountains.

7 0
4 years ago
Rotation 90 degrees counterclockwise about the origin<br>​
Akimi4 [234]

Answer:

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

8 0
3 years ago
A rectangle has an area of 198 square meters and a width of 9 meters.
madreJ [45]

Answer:

The length of the triangle is 22.

Step-by-step explanation:

Area = width*length

length = area/width = 198/9 = 22

3 0
3 years ago
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