Answer:
y = -13/14 and x = 240/7
Step-by-step explanation:
3x - 12y = 114 ............eqn 1
x + 38y = -1 ..........eqn 2
Multiply eqn 2 by 3
3x + 114 = -3
Subtract eqn 2 from 1
3x - 12y = 114
- 3x + 114 = -3
____________
0 - 126y = 117
y = 117/-126
y = -13/14
Sub y = -13/14 in eqn 1
3x - 12(-13/14) = 114
3x + 78/7 = 114
Multiply through by 7
21x + 78 = 798
21x = 798 - 78
21x = 720
x = 720/21
x = 240/7 = 34.29