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Helen [10]
3 years ago
7

the sum of two numbers is 18. twice the first number increased by three times the second number equals 40. find the numbers

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

4 and 14

Step-by-step explanation:

:the sum of two numbers is 18" can be written as

 x + y = 18               let x represent the first number, and y the second

"twice the first number increased by three times the second number equals 40" can be written as

2x + 3y = 40

Now solve this system. Using elimination will probably be the easier method...

1.   x +  y = 18

2.  2x + 3y = 40

Multiply equation 1 by -2 so the x variable will be the opposite of the x variable on equation 2.

1.  -2x - 2y = -36

2.  2x  + 3y = 40

Now add the equations together, cancelling out 'x'

y  = 4     ( 2x + (-2x) = 0, so 'x' is gone, 3y + (-2y) = y, 40 + (-36) = 4)

Since y = 4, plug that into either equation 1 or 2 and solve for x

1.  x + 4 = 18     (y becomes 4)

     x = 14        (subtract 4 on both sides to isolate 'x')

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<h3>How to plot the points?</h3>

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<u>Complete question</u>

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8 0
2 years ago
A publishing company is going to have 24,000 books printed. There are between 3 and 4 books out of ever 3,000 that will have a p
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Answer:

C. 31

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3000 there are 3-4 errors

If we first divide 24,000 by 3,000, will get 8

then since there a error for each 3,000 books, we do 8 x 4 = 32 and 8 x 3 = 24

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Hello!  

<h2>Answer: </h2>

23. 138 people voted for Nyemi, 69 people voted for Luke, and 23 people voted for Natalie.

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<h2>Explanation:</h2>

23:

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