2x − y = 3 4x = 6 + 2y

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09-08-2017
Mathematics

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2x − y = 3 4x = 6 + 2y

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Аноним Аноним · Answer 1 · 2017-08-17T02:07:42+02:00

We want to solve
2x - y = 3
4x = 6 + 2y

The second equation, after diving through by 2, is
2x = 3 + y
or
2x - y = 3

The system of equations is
2x - y = 3 (1)
2x - y = 3 (2)

These two equations are identical, so we actually have only one equation for determining x and y.
That is,
y = 2x - 3

For any real value of x, there will be a corresponding value of y.
Therefore there an infinite number of solutions, and no unique solution exists.

Answer: There is no unique solution.