8x = 2y + 5 3x = y + 7

1 answer:

8 0

Hello there!

8x = 2y + 5
3x = y + 7
Use the substitution property
We need to solve 3x = y + 7 for y
3x = y + 7
3x - y = 7
-y = 7 - 3x
Divide both sides by -1
-y/-1 = -3x -7/-1
y = 3x - 7
Substitute 3x - 7 for y in 8x = 2y + 5
8x = 2y + 5
8x = 2(3x - 7) + 5
8x = 6x - 14 + 5
8x = 6x - 9
8x - 6x = -9
2x = -9
x= -9/2
To find y, we need to substitute -9/2 for x in y = 3x -7
y = 3x - 7
y = 3(-9/2) - 7
y = -41/2

The correct answer is option A (-9/2; -41/2)

Good luck with your studies!

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An avid golf fan recorded the scores of 75 golfers on the ninth hole of the Cottonwood Golf Course as follows :

Vadim26 [7]

Answer:

The correct answer is 3.77 strokes as the average score for the ninth hole of the Cottonwood Golf Course.

Step-by-step explanation:

1. To find the average score, we need to know how many strokes the 75 golfers needed to play this ninth hole. For doing that, we will do the following addition, using the frequency data given:

1 x 1 = 1

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32 x 3 = 96

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6 x 6 = 36

1 + 2 + 96 + 108 + 40 + 36

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This means that all the 75 golfers scored 283 strokes for playing the ninth hole

2. Now that we know that the total number of strokes was 283, we will do a division for find the average score, using also the number of golfers. For doing it, we will do the following division:

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283/75 = 3.77

The average score is 3.77. It means that the 75 golfers in average hit 3.77 strokes to play the ninth hole.

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solong [7]

Answer:

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