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sveta [45]
3 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]3 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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Y varies directly with x, and y = 5 when x = 4. What is the value of x when y = 8?
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