This system has one solution.
y=8x+9,
y=x^2+4x+13

what is the y-coordinate of the solution?

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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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