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22 May, 13:35

This system has one solution.

y=8x+9,

y=x^2+4x+13

What is the y-coordinate of the solution?

Enter your answer in the box.

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Answers (1)
  1. 22 May, 13:40
    0
    The y-coordinate of the solution is 25

    Step-by-step explanation:

    Given in the question is two polynomial equations

    Equation1

    y = 8x + 9

    and

    Equation2

    y = x² + 4x + 13

    To find the y-coordinate of the solution, put the value of y in equation1 to equation2

    8x + 9 = x² + 4x + 13

    x² + 4x + 13 - 8x - 9 = 0

    x² - 4x + 4 = 0

    (x-2) (x-2) = 0

    x = 2

    Put the value of x in equation1

    y = 8x + 9

    y = 8 (2) + 9

    y = 16 + 9

    y = 25

    So, the y-coordinate of the solution is 25

    and the coordinates are (2,25)
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