x = 2, y = - 1
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Given system:
- 141x + 93y = 189
- 93x + 141y = 45
Step 1
Add up the two equations:
- 141x + 93x + 141y + 93y = 189 + 45
- 234x + 234y = 234
- x + y = 1
Step 2
Subtract the two equations:
- 141x - 93x - 141y + 93x = 189 - 45
- 48x - 48y = 144
- x - y = 3
Step 3
Add up the two simplified equations:
- x + y + x - y = 1 + 3
- 2x = 4
- x = 2
Step 4
Find y by substitution:
- 2 + y = 1
- y = 1 - 2
- y = - 1