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sveta [45]
2 years ago
6

What is the solution of the system of equations y=2/3x+5 7x-3y=15

Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0

Answer:

(6, 9)

Step-by-step explanation:

Plug in 2/3x + 5 as y into 7x - 3y = 15

7x - 3(2/3x + 5) = 15

7x - 2x - 15 = 15

Add like terms:

5x - 15 = 15

5x = 30

x = 6

Then, plug in 6 as x into y = 2/3x + 5 to solve for y:

y = 2/3x + 5

y = 2/3(6) + 5

y = 9

So, the solution to the system of equations is (6, 9)

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qaws [65]

Answer:

  1. 8pq-3pq= 5pq
  2. 2m-3m+4 =4-m

Step-by-step explanation:

  1. The first equation shows two terms can be combine as follow: 8pq-3pq= (8-3)pq by applying common factoring. Then, because 8-3=5, it can be expressed as 5pq.
  2. In the second equation, we have only two terms that can be factored by combining the terms that share the same factor (which is m). Then, 2m-3m+4 can be expressed like m(2-3)+4. Because (2-3)=-1 and because the order of the sum does not affect the result, the result is 4-m.
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3 years ago
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Step-by-step explanation:

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sergey [27]

Answer:

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Step-by-step explanation:

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To find the area of the square, you do 7², which is 49 cm². 

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π3.5² ≈ 38.4845100065 cm².

The shaded region is the area of the square minus the area of the circle.  

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The answer is 10.54 cm².
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