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!