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Find he solution of the equation: x + y = 3, 3x – 2y = 4 is:

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x = -2, y =1

x = 1, y = 2

x = 2, y =1

x = -2, y = -1

answer is A.

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Detailed Solution

Given: x + y = 3 ....(1)

3x − 2y = 4 ....(2)

Multiplying equation (1) by 2, we get:

⇒ 2x + 2y = 6 .....(3)

Adding equations (2) and (3), we get:

⇒ 5x = 10

⇒ x = 2

On substituting x = 2 in equation (1), we get:

⇒ 2 + y = 3

⇒ y = 1

Thus, x = 2 and y = 1

Therefore, option A is the correct answer.

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