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andreyandreev [35.5K]
3 years ago
13

A student is trying to solve the system of two equations given below:

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

sorry I didn't know.........

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It's moving day, and Lydia has packed her books into large and small boxes. The large boxes hold 35 books, and the small ones ho
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The number of large boxes is 4 and the number of small boxes is 14.

<u><em>Explanation</em></u>

Suppose, the number of large boxes is x and the number of small boxes is y

As, the total number of boxes is 18, so the first equation is....

x+y= 18 .......................................(1)

The large boxes hold 35 books, and the small ones hold 20 books and the total number of books is 420. So the second equation will be .....

35x+20y=420................................(2)

Now solving equation (1) for y itself , we will get....

y= 18-x

We will plug this y= 18-x into equation (2). So.....

35x+20(18-x)=420\\ \\ 35x+360-20x=420\\ \\ 15x= 420-360\\ \\ 15x=60\\ \\ x= \frac{60}{15}=4

Now plugging this x=4 into the equation y= 18-x.......

y= 18-4= 14

Thus, the number of large boxes is 4 and the number of small boxes is 14.

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