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Mathematics

2 answers:

Trava [24]3 years ago

8 0

Answer:

The answer is (5,4)

Step-by-step explanation:

AleksandrR [38]3 years ago

3 0

<h3>Answer: Choice B. (5, 4)</h3>

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Explanation:

Note the matching 4y terms in each equation. The top 4y adds with the -4y down below to get 4y+(-4y) = 0y = 0. This tells us that the y terms go away entirely.

The x terms add to 3x+2x = 5x

The constants on the right hand sides add to 31+(-6) = 25

After adding the equations straight down, we end up with this new equation of 5x = 25

Dividing both sides by 5 leads to x = 5

The answer so far is between B and D.

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Let's use this x value to find y

Plugging x = 5 into the first equation leads to...

3x+4y = 31

3(5) + 4y = 31

15 + 4y = 31

4y = 31-15

4y = 16

y = 16/4

y = 4

Or you could use the second equation

2x - 4y = -6

2(5) - 4y = -6

10 - 4y = -6

-4y = -6-10

-4y = -16

y = -16/(-4)

y = 4

Either way, we get the same y value when x = 5.

So x = 5 and y = 4 pair up together.

Overall, the solution is (x,y) = (5, 4)

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A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the num

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Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?

Answer:

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