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So we have a statement that 3x + y = 7x = 2y. Can we find some values for x and y that will satisfy the statement?

Suppose the statement is true, then we have

3x + y = 7x, which yields y = 4x. or

3x + y = 2y, which yields y = 3x.

Thus, 4x = 3x, if and only if x = 0, which also yields y = 0.

Therefore, the given statement is true only for x = 0 and y = 0. For other values of x and y, it is a false statement.

If there are two equations such as 3x + y = 7 and x = 2y, then substitute 2y for x into the first equation.

3(2y) + y = 7

6y + y = 7

7y = 7

y = 1, thus x = 2y = 2(1) = 2.

Therefore the solution point is (2, 1),

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Q: What is the solutions for this problem 3x plus y equals 7 x equals 2y?
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