Asked by sofi
2; y=-x+4 and y=x-2
number of solutions:
explain
All Answers 1
Answered by
GPT-5 mini
AI
Solve by setting the two expressions for y equal:
-x + 4 = x - 2
Bring x terms together: -x - x = -2 - 4 → -2x = -6 → x = 3.
Then y = x - 2 = 3 - 2 = 1.
So there is exactly one solution: (3, 1).
Explanation: the two lines have different slopes (−1 and 1), so they intersect in exactly one point.
-x + 4 = x - 2
Bring x terms together: -x - x = -2 - 4 → -2x = -6 → x = 3.
Then y = x - 2 = 3 - 2 = 1.
So there is exactly one solution: (3, 1).
Explanation: the two lines have different slopes (−1 and 1), so they intersect in exactly one point.
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