Xiao Ming and Zhang Fan solve a system of quadratic equations ax + by = 16 (1) BX + ay + 1 (2) Xiao Ming miscopies equation 1 and obtains the solution as x = - 1, y = 3 Zhang Fan copied equation 2 wrong and got the solution as x = 3, y = 2

Xiao Ming and Zhang Fan solve a system of quadratic equations ax + by = 16 (1) BX + ay + 1 (2) Xiao Ming miscopies equation 1 and obtains the solution as x = - 1, y = 3 Zhang Fan copied equation 2 wrong and got the solution as x = 3, y = 2

Xiao Ming copied equation 1 wrong and got the solution as x = - 1, y = 3 ∫ - B + 3A = 1 ①
Zhang Fan copied equation 2 wrong and got the solution as x = 3, y = 2 ∫ 3A + 2B = 16 ②
① The results show that 9A = 18 A = 2
Substituting a = 2 into (1) gives B = 3a-1 = 5
∴a＝2,b＝5