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ELEN [110]
3 years ago
9

What are the three types of systems of linear equations and how are the different?

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Answer:

Consistent/Independent, Inconsistent, Dependent

Step-by-step explanation:

<u>Consistent/Independent:</u>

Where there's only one unique solution

<u>Inconsistent</u>

Where there is no solution

<u>Dependent</u>

Where the solution is dependent

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Elimination_4x_2y=14<br> _10x+7y=_24
Gnesinka [82]

Answer:

The answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

-4x-2y=14   ......(1)

-10x+7y=-24 ......(2)

So, we multiply the equation (1) by 7 we get:

-28x-14y=98

And, we multiply the equation (2) by 2 we get:

-20x+14y=-48

Now, adding both the new equations:

-28x-14y+(-20x+14y)=98+(-48)

-28x-14y-20x+14y=98-48

-28x-20x-14y+14y=50

-8x=50

<em>Dividing both the sides by -8 we get:</em>

x=-\frac{50}{8}

Now, putting the value of x in equation (1):

-4x-2y=14

-4(-\frac{50}{8})-2y=14

\frac{200}{8} -2y=14

25-2y=14

<em>Subtracting both sides by 25 we get:</em>

-2y=-11

<em>Dividing both sides by -2 we get:</em>

y=\frac{11}{2}

Therefore, the answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

5 0
3 years ago
Which decimal is equivalent to 10/3
Aneli [31]
3.3333333 repeating
Take 10 and divide it by 3
6 0
3 years ago
Solve the absolute value equation.<br> |X-2] +3 = 10
Inessa05 [86]

Answer:

9

Step-by-step explanation:

  1. [X-2]+3=10
  2. [X-2]=10-3
  3. X=7+2
  4. X=9
4 0
3 years ago
A 6-pack of fruit juice costs $2.76. At that same rate, how much would a 15-pack cost
Scorpion4ik [409]
A 15 - pack would cost $6.90.

Explanation:
We know that a 6-pack of fruit juice would cost 2.76, so to find the cost of 1 -pack, you divide 2.76 by 6. That gives us $0.46 for 1 -pack. To find the cost of a 15-pack, you would multiply $0.46 by 15, which gives us $6.90. Therefore, a 15- pack would cost $6.90
3 0
3 years ago
Rita teaches environmental biology. She has 2 forms of a midterm exam, and she wonders if either form is
3241004551 [841]

Answer:

A randomized block design where the 444 sections are the blocks

7 0
2 years ago
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