Question

This system has one solution.

y=x^2−3x+7,
y=3x−2
What is the y-coordinate of the solution?
Enter your answer in the box.

Answer 1

y = 7

Explanation:

Answer 2

y=7

Explanation:

The given system is

`y=x^2-3x+7`

and

`y=3x-2`

We equate the two equations to find their point of intersection.

`x^2-3x+7=3x-2`

`x^2-3x-3x+7+2=0`

`x^2-6x+9=0`

`(x-3)^2=0`

`x-3=0`

`x=3`

The y-coorinate is

`y=3(3)-2`

`y=9-2=7`