Question

This system has one solution.

What is the y-coordinate of the solution?

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

Answer 1

y = 4

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.