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5 July, 13:05

This system has one solution.

What is the y-coordinate of the solution?

Y=2x+2 y=x^2+3

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Answers (1)
  1. 5 July, 13:20
    0
    y = 4

    Step-by-step explanation:

    equate these two equations, obtaining 2x+2 = x^2+3. Solving this for x, we get:

    x^2 - 2x - 2 + 3 = 0, or x^2 - 2x + 1 = 0. This is equivalent to (x - 1) ^2 = 0. There's a double root here: x = 1 and x = 1.

    Since Y=2x+2, y = 2 (1) + 2, or y = 4, when x = 1.

    The y-coordinate of the solution is y = 4.
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