Question

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.

Answer 1

The y-coordinate of the solution is 25

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)