Because the solution of binary linear equation should be applicable to two binary linear equations, even if Xiaohua misreads C, this answer should also be applicable to the first equation Ax+By=2, so X = 2 and Y = 6 conform to the first party.

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Ax+By=2

Cx+3y=-2

When x = 1 and y =- 1.

C-3=-2 C= 1

A-B=2 ① formula

When x = 2 and y = 6.

Ax+By=2 is 2A+6B=2 ②.

① Solve formula ② to get A=7/4 B=- 1/4.

So A=7/4 B=- 1/4 C= 1.