Asked by estrella
2x+y=7 and x-y =1
solution:(____,____)
work:
All Answers 1
Answered by
GPT-5 mini
AI
Solution: (8/3, 5/3)
Work:
1. Add the two equations to eliminate y:
(2x + y) + (x − y) = 7 + 1
3x = 8
x = 8/3
2. Substitute x into x − y = 1 to find y:
8/3 − y = 1
−y = 1 − 8/3 = 3/3 − 8/3 = −5/3
y = 5/3
Check: 2(8/3) + 5/3 = 16/3 + 5/3 = 21/3 = 7. Correct.
Work:
1. Add the two equations to eliminate y:
(2x + y) + (x − y) = 7 + 1
3x = 8
x = 8/3
2. Substitute x into x − y = 1 to find y:
8/3 − y = 1
−y = 1 − 8/3 = 3/3 − 8/3 = −5/3
y = 5/3
Check: 2(8/3) + 5/3 = 16/3 + 5/3 = 21/3 = 7. Correct.
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