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beks73 [17]
2 years ago
12

Is (-2, 6) a solution to this system of equations?

Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0
I think the answer is no. I’m not sure. I’m sorry if incorrect
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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
  • This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

<u>c) The given equation is 5x − 5 = x + 15</u>

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

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2 years ago
What is the center of the data in the dot plot? Number of Minutes to Finish the Quiz mc010-1.jpg
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The answer is 13. Or the third choice, just took the test.
6 0
3 years ago
Alex was trying to guess the month of her brother's birthday? She knew that the
Pachacha [2.7K]

Answer:

16.67

Step-by-step explanation:

2/12

3 0
3 years ago
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A mechanic uses a mechanical lift to raise a car. The car weighs 10,200 N. The work required to do this was 22,440 J.
Neporo4naja [7]
The answer is B thanks for asking
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3 years ago
there are 650, of that 650 48% do go, 44% doesn't go, how many students are not sure they will attend?
Katarina [22]
44% + 48% = 92%
48% go, 44% dont go...so thats 92% that either go or dont go....leaving u with 8% unsure 
0.08(650) = 52 are not sure they will attend
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3 years ago
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