Answer:
y=7
Step-by-step explanation:
The given system is
[tex]y=x^2-3x+7[/tex]
and
[tex]y=3x-2[/tex]
We equate the two equations to find their point of intersection.
[tex]x^2-3x+7=3x-2[/tex]
[tex]x^2-3x-3x+7+2=0[/tex]
[tex]x^2-6x+9=0[/tex]
[tex](x-3)^2=0[/tex]
[tex]x-3=0[/tex]
[tex]x=3[/tex]
The y-coorinate is
[tex]y=3(3)-2[/tex]
[tex]y=9-2=7[/tex]
