Jika {(m, n)} merupakan HP dari sistem persamaan linear3×+4y=30 5×-2y=-2 maka nilai 5m+6n adalah

HP = {(m, n)}
maka
m = x
n = y

3x + 4y = 30 (x 1)
5x - 2y = -2 (x 2)
-------------------------
3x + 4y = 30
10x - 4y = -4
------------------- +
13x = 26
x = 26 / 13
x = 2


3x + 4y = 30
3(2) + 4y = 30
6 + 4y = 30
4y = 30 - 6
4y = 24
y = 24 / 4
y = 6

jadi,
m = x = 2
n = y = 4

5m + 6n
= 5(2) + 6(4)
= 10 + 24
= 34