Himpunan penyelesaian sistem persamaan dari ax - 4by = 22 dan ax - by = 13 adalah {(5,-3)}. Nilai a^2 + b^2 + 2ab adalah...

Bab SPLDV

x = 5
y = -3

ax - 4by = 22
a(5) - 4b(-3) = 22
5a + 12b = 22

a(5) - b(-3) = 13
5a + 3b = 13

5a + 12b = 22
5a + 3b = 13
___________ -
9b = 9
b = 1

5a + 3b = 13
5a = 13 - 3(1)
a = 10/5
a = 2

a^2 + b^2 + 2ab
= (a + b)^2
= (2 + 1)^2
= 9