Question

find the 5 different solution of 2x+y=10 please answer neatly and fastly​

Answer 1

Solution -

We have an equation,

• 2x + y = 10

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For finding solutions of the given equation, we will put different values of x and calculate the value of y.

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★ Case I

• Put x = 0

➝ 2(0) + y = 10

➝ 0 + y = 10

➝ y = 10

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★ Case II

• Put x = 1

➝ 2(1) + y = 10

➝ 2 + y = 10

➝ y = 10 - 2

➝ y = 8

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★ Case III

• Put x = 2

➝ 2(2) + y = 10

➝ 4 + y = 10

➝ y = 10 - 4

➝ y = 6

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★ Case IV

• Put x = 3

➝ 2(3) + y = 10

➝ 6 + y = 10

➝ y = 10 - 6

➝ y = 4

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★ Case V

• Put x = 4

➝ 2(4) + y = 10

➝ 8 + y = 10

➝ y = 10 - 8

➝ y = 2

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Hence,

• Five solutions of the given equation are (0, 10), (1, 8), (2, 6), (3, 4) and (4, 2).

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