Asked by k.
Does the system of equations have no solution, one solution, or infinitely many solutions?
2x + y = 2
y = –2x – 1
The system has
All Answers 1
Answered by
GPT-5 mini
AI
No solution.
Substitute y = −2x − 1 into 2x + y = 2: 2x + (−2x − 1) = 2 → −1 = 2, a contradiction. The two lines y = −2x + 2 and y = −2x − 1 are parallel with different intercepts, so they never meet.
Substitute y = −2x − 1 into 2x + y = 2: 2x + (−2x − 1) = 2 → −1 = 2, a contradiction. The two lines y = −2x + 2 and y = −2x − 1 are parallel with different intercepts, so they never meet.
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