Question

猜测关于x、y的方程组 (m+2)x+(m+1)y=m (n+2)x+(n+1)y=n m不等于n 求x、y 的值

Answer 1

(m+2)x+(m+1)y=m -----------(1)

(n+2)x+(n+1)y=n ------------(2)

(1)*(n+2)-(2)*(m+2) 得：((m+1)(n+2)-(n+1)(m+2))y=m(n+2)-n(m+2)

y=(m(n+2)-n(m+2))/((m+1)(n+2)-(n+1)(m+2))=2

(1)*(n+1)-(2)*(m+1) 得：((m+2)(n+1)-(n+2)(m+1))x=m(n+1)-n(m+1)

x=m(n+1)-n(m+1))/((m+2)(n+1)-(n+2)(m+1))=-1

x=-1,

y=2