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Nadya [2.5K]
2 years ago
5

X+2y=9 and x=2y+1helppppppppppppppppp meeeeereeer​

Mathematics
2 answers:
Anastasy [175]2 years ago
6 0

Answer:

  • (5, 2)

Step-by-step explanation:

<u>Given system:</u>

  • x + 2y = 9
  • x = 2y + 1

<u>Solve for y by substitution:</u>

  • (2y + 1) + 2y = 9
  • 4y + 1 = 9
  • 4y = 8
  • y = 2

<u>Find the value of x:</u>

  • x = 2*2 + 1
  • x = 5
skelet666 [1.2K]2 years ago
5 0

Answer: y = 2

Step-by-step explanation:

we need to use systems of equations, basically since we know what x equals, we plug that into first equation so:

since x=2y+1,

we can say that:

(2y+1)+2y=9

then we solve this equation,

first we expand the brackets- 2y+1+2y=9,

then we combine like terms- 4y+1=9

then we take 1 away from both sides- 4y=8

then we divided both sides by 4

y=2

Hope this helps xx

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Answer:

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Step-by-step explanation:

Given :

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Probability that professor is late :

P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]

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P(late) = 0.09

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Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

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2 years ago
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