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katovenus [111]
3 years ago
12

-2x + y=10. what is the answer to this? y=-1/3x+3​

Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

x = - 3, y = 4

Step-by-step explanation:

Given the 2 equations

- 2x + y = 10 → (1)

y = - \frac{1}{3} x + 3 → (2)

Substitute (2) into (1), that is

- 2x - \frac{1}{3} x + 3 = 10 ( multiply through by 3 to clear the fraction )

- 6x - x + 9 = 30

- 7x + 9 = 30 ( subtract 9 from both sides )

- 7x = 21 ( divide both sides by - 7 )

x = - 3

Substitute x = - 3 into (2) for corresponding value of y

y = - \frac{1}{3} (- 3) + 3 = 1 + 3 = 4

solution is x = - 3, y = 4

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