1.× + y + z = 45
× + 4 = y
z – 17 = ×
2. 3× + 4y – 5z = 12
2x + 5y – z = 17
6x + 2y – 3z = 17
Bantu ya
Jawaban:
1.) y = x + 4
z = x + 17
x + x + 4 + x + 17 = 45
3x + 21 = 45
3x = 24
x = 9
x+4=y
9+4=y
y = 13
z – 17 = x
z – 17 = 9
z = 26
2.) 3x + 4y – 5z = 12 dikali 2
6x + 8y – 10z = 24
6x + 2y – 3z = 17
—————————– –
6y – 7z = 7
2x + 5y – z = 17 dikali 3
6x + 15y – 3z = 51
6x + 2y – 3z = 17
—————————– –
13y = 34
y = 34/13 = 2 8/13
6y – 7z = 7
6(34/13) – 7z = 7
204/13 – 7z = 7 dikali 13
204 – 91z = 91
-91z = -113
z = 113/91 = 1 22/91
2x + 5(34/13) – (113/91) = 17
2x + 170/13 – 113/91 = 17
2x + 1190/91 – 113/91 = 17
2x + 1077/91 = 17 dikali dengan 91
182x + 1077 = 1547
182x = 470
x = 470/182 = 235/91 = 2 53/91