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Dmitrij [34]
3 years ago
14

Solve the system of linear equations by elimination −2x+3y=7 and 5x+8y=−2

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Hey!

Here's how you would solve it with elimination:

-2x + 3y = 7

5x + 8y = -2

Multiply first equation by 5 and the second one by 2:

-10x + 15y = 35

10x + 16y = -4

Add the two equations:

-10x + 15y = 35

+

10x + 16y = -4

------------------------

31y = 31

y = 1

Plug this back into one of the original equation:

5x + 8y = -2

5x + 8(1) = -2

5x + 8 = -2

5x = -10

x = -2

Now you have your answer:

y = 1

x = -2

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At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g
Tresset [83]

Answer:

17

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n(S \cup A\cup G) = 100

n(S \cap A\cap G) = 9

n(S \cap A) = 20

n(A \cap G) = 35

n(G \cap S) = 29

Formula:

n ( A ∪ B ∪ C ) =  n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n(G \cap S) - n(A \cap G) + n(S \cap A\cap G)

= 72 - 35 - 29 + 9

= <em>17</em>

6 0
3 years ago
the perimeter of a rectangle is 70 inches. the length of a rectangle is 5 less than 3 times its width. what is the witdth of the
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Answer:

The width is 10 inches

Step-by-step explanation:

Perimeter = 2(Length + Breadth)

Length(L) = 3B + 5

Perimeter = 70

70 = 2(3B + 5)

70 = 6B + 10

70 - 10 = 6B

60 = 6B

60/6 = B

B = 10 inches

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3 years ago
Hope you all have a great day!
ArbitrLikvidat [17]

u tooooooo!!

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(๏㉨๏)

ʕ≧ᴥ≦ʔ

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3 years ago
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puteri [66]
This is the answer to 67,473 divided by 32. I hoped this helped. I used colors to hopefully help you more.

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3 years ago
Point b is between points a and
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3 years ago
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