Question

Dengan metode subtitusi tentukan himpunan penyelesaian dari:
a. x+y=5
x-y=-1
b. x+y=-3
2x-2y=10

Answer 1

Verified answer

A) x + y = 5
x = - y + 5
subtitusi ke pers :
x - y = - 1
( - y + 5 ) - y = - 1
- 2y = - 1 - 5
- 2y = - 6
y = 3
subtitusi ke pers :
x = - y + 5
x = - 3 + 5
x = 2
hp = ( 2 , 3 )

b) x + y = - 3
x = - y - 3
disubtitusi
2x - 2y = 10
2( - y - 3 ) - 2y = 10
- 2y - 6 - 2y = 10
- 4y = 10 + 6
- 4y = 16
y = - 4
disubtitusi
x = - y - 3
x = - 4 - 3
x = - 7
hp = { - 4 , - 7 }