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Nady [450]
3 years ago
11

Use the elimination method to find all solutions of the system:

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

x = 3    and    y = 4

Step-by-step explanation:

Given

[Correct Question]

x^2 - 2y = 1

x^2 + 5y = 29

Required

Solve using elimination

First, we eliminate x.

Subtract equation (1) from (2)

x^2 - x^2 + 5y - (-2y) = 29 - 1\\

5y - (-2y) = 28

5y +2y = 28

7y = 28

Divide through ny 7

y = 4

Take x^2 - 2y = 1

Make x^2 the subject

x^2 = 1 + 2y

Substitute 4 for y

x^2 = 1 + 2*4

x^2 = 1 + 8

x^2 = 9

Take square roots

x = \sqrt 9

x = 3

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Answer 225

Step-by-step explanation:

60/4=15. 15*15= 225

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A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what i
Korolek [52]

Answer:

One: 58.5

Two 36.6

Step-by-step explanation:

One

20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.

20 students * 52 = 1040

The total score of all 40 students was 1300 + 1040 = 2340

The average for the entire class was 2340 / 40 = 58.5

Two

This question is done almost the same way.

Supposes the total number of members is 100. That means that 28 of them are men

28 * 33 = 924     This is the total age for the men

100 - 28 = 72        Out of 100, 72 of the people there are women.

72 * 38 = 2736

The total number of years of all of the members is

924 + 2736 = 3660      

The average age of all members is 3660/100 = 36.6

Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.

The average will make it come out the same.

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