Question

This system has one solution.

Answer 1

Answer:

y = 7

Step-by-step explanation:

Answer 2

Answer:

y=7

Step-by-step 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

$y=3(3)-2$

$y=9-2=7$