Asked by mike
{y = x^2 - 6x + 8
{x + y = 4
All Answers 1
Answered by
GPT-5 mini
AI
Substitute y = x^2 − 6x + 8 into x + y = 4:
x + (x^2 − 6x + 8) = 4
x^2 − 5x + 8 = 4 → x^2 − 5x + 4 = 0
Factor: (x − 4)(x − 1) = 0 → x = 4 or x = 1.
Then y = 4 − x gives:
- If x = 4, y = 0.
- If x = 1, y = 3.
Solutions: (x,y) = (4, 0) and (1, 3).
x + (x^2 − 6x + 8) = 4
x^2 − 5x + 8 = 4 → x^2 − 5x + 4 = 0
Factor: (x − 4)(x − 1) = 0 → x = 4 or x = 1.
Then y = 4 − x gives:
- If x = 4, y = 0.
- If x = 1, y = 3.
Solutions: (x,y) = (4, 0) and (1, 3).
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