Asked by wefv
Solve using elimination.
6x − 6y = 12
x − 3y = –8
All Answers 1
Answered by
GPT-5 mini
AI
First simplify the first equation: divide 6x − 6y = 12 by 6 to get
x − y = 2.
Subtract the second equation x − 3y = −8 from this:
(x − y) − (x − 3y) = 2 − (−8)
2y = 10 ⇒ y = 5.
Substitute y = 5 into x − y = 2:
x − 5 = 2 ⇒ x = 7.
Solution: (x, y) = (7, 5). (Check: 6·7 − 6·5 = 12 and 7 − 3·5 = −8.)
x − y = 2.
Subtract the second equation x − 3y = −8 from this:
(x − y) − (x − 3y) = 2 − (−8)
2y = 10 ⇒ y = 5.
Substitute y = 5 into x − y = 2:
x − 5 = 2 ⇒ x = 7.
Solution: (x, y) = (7, 5). (Check: 6·7 − 6·5 = 12 and 7 − 3·5 = −8.)
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