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sveta [45]
2 years ago
10

Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=−3x 12y=−6x 2 Select the cor

rect answer from the drop-down menu. Choose.
Mathematics
1 answer:
tresset_1 [31]2 years ago
8 0

System of equations helps to compare two real-life situations. The system is an Independent Consistent System.

<h3>What is a System of the equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given to us

y = −3x + 12

y = −6x + 2

As we have the value of y in both equations equate it against each other,

-3x + 12 = -6x + 2\\\\-3x + 6x = 2 -12\\\\3x = -10\\\\x  = \dfrac{-10}{3}

We know the value of x, substitute the value of x in the equation of y,

y = -6x + 2\\\\y = -6(\dfrac{-10}{3}) + 2\\\\y = +20 + 2\\\\y = 22

As the value of both x and y is unique, therefore, there is a unique solution for the given system of equations.

Thus, the system has a unique solution, therefore, the system is an Independent Consistent System.

Learn more about System of equation:

brainly.com/question/12895249

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The answer to 100.5 divided by 1.5 is 67
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The larger of two number is 15 more than three times the smaller number if the sum of the two numbers is 63 find The numbers
Aleks [24]

The two numbers are <u>12 and 51.</u>

<h3>EXPLANATION</h3>

To solve this, I did 63-15, to get 48.

I then divided this by 4, to get the first number, which is <u>12.</u>

To find the second answer, I multiplied 12 by 3, which is 36, and then added the 15 back on, to get <u>51.</u>

<u>51 + 12 = </u><em><u>63</u></em>

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3 years ago
A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your va
guajiro [1.7K]

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

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PLease help
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A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt
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Answer:

Step-by-step explanation:

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3 years ago
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