What is the y-coordinate of the solution?

Answer:
7
Step-by-step explanation:
Set
[tex] {x}^{2} - 3x + 7 = 3x - 2[/tex]
[tex]x {}^{2} - 6x + 9 = 0[/tex]
[tex](x - 3) {}^{2} = 0[/tex]
[tex]x - 3 = 0[/tex]
[tex]x = 3[/tex]
Plug in 3 into one of the equations to solve for y.
[tex]y = (3)(3) - 2[/tex]
[tex]y = 9 - 2[/tex]
[tex]y = 7[/tex]
So the y coordinate is 7.