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Xiaoming likes math.
The question just answered:

Xiaoming is a clever classmate. He often delves into some math problems in his spare time. After research, he found that for any rational number m, x=5m+2 y=3m+2 is the solution of equation 3x-5y+4 = 0. Do you think the conclusion that Xiao Ming found is correct? If correct, give your reasons; If it is not correct, try to give a counterexample.

Solution: Xiaoming's conclusion is correct, that is, x=5m+2 and y=3m+2 are the solutions of the equation 3x-5y+4 = 0. The reason for this is the following:

When x=5m+2 and y=3m+2,

3x-5y+4

=3(5m+2)-5(3m+2)+4

= 15m+6- 15m- 10+4

=0,

So when x=5m+2 and y=3m+2, the left side of equation 3x-5y+4 = 0 = right side,

So x=5m+2, y=3m+2 must be the solution of equation 3x-5y+4 = 0.

So the conclusion that Xiao Ming found is correct.

Jiangsu Wu Yunchao answered for reference!