Question

Himpunan penyelesaian dari sistem persamaan linier tiga variabel:
x/2=y/3=z/5
3x + 5y - 2z = 33
adalah

Answer 1

X=6 y=9 z=15, caranya di foto tuh

Answer 2

x/2=y/3=z/5
---------------------(x30)
15x=10y=6z
15x = 10y
x = 10/15 y = 2/3 y
6z = 10y
z = 10/6 y = 5/3 y

3x + 5y - 2z = 33
3(2/3 y) + 5y - 2(5/3 y) = 33
2y + 5y -10/3 y = 33
7y -10/3 y = 33
11/3 y = 33
y = (33/11).3
y = 9
x = 2/3 y = 2/3. 9 = 6
z = 5/3 y = 5/3. 9 = 15
HP={6,9,15}