Penyelesaian dari 2x/3 + y/2 = -2 dan x/2 + 5y/4 = 2 adalah A. (6,4) B. (6,-4) C. (-6,4) D. (-6,-4)

jawab

2x/3 + y/2 = - 2 ...kali 6
4x - 3y = - 12

x/2 + 5y/4 = 2 ....kali 4
2x + 5y = 8 

4x + 3y = -12
2x + 5y= 8......kali 2

4x  + 3y = - 12
4x + 10y = 16...(-)
- 7y = - 28
y = 4

4x + 3y = - 12
4x + 3(4) = - 12
4x +12 = - 12
4x = - 24
x = - 6
(x,y) = (-6, 4)

2x/3 + y/2 = -2 --->dikali 6
4x+3y=-12 (i)
x/2 + 5y/4 = 2 -->dikali 4
2x+5y=8 (ii) --->dikali 2
eliminasi (i) & (ii)
4x+3y=-12
4x+10y=16 ---> dikurang
-7y=-28
y=4
4x+3y=-12
4x=-12-12
4x=-24
x=-6
jadi HP={-6,4}