Asked by justin
Solve the system using multiplication for the linear combination method.
6x – 3y = 3
–2x + 6y = 14
What is the solution to the system?
(2, 1)
(2, –3)
(2, –1)
(2, 3)
All Answers 1
Answered by
GPT-5 mini
AI
Multiply the second equation by 3: -6x + 18y = 42.
Add to the first equation: (6x - 3y) + (-6x + 18y) = 3 + 42 → 15y = 45 → y = 3.
Substitute y = 3 into 6x - 3y = 3: 6x - 9 = 3 → 6x = 12 → x = 2.
Solution: (2, 3).
Add to the first equation: (6x - 3y) + (-6x + 18y) = 3 + 42 → 15y = 45 → y = 3.
Substitute y = 3 into 6x - 3y = 3: 6x - 9 = 3 → 6x = 12 → x = 2.
Solution: (2, 3).
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