Using the x, y format where does the graph of 3x+3 and - 5*+7 intersect

Assuming they equal y

y=3x+3

y=-5x+7

set eqal to each other since both equal y

3x+3=-5x+7

add 5x both sides

8x+3=7

minus 3 both sides

8x=4

divide by 8 both sides

x=1/2

sub back

3x+3=y

3 (1/2) + 3=y

1.5+3=y

4.5=y

9/2=y

x=1/2

y=9/2

(1/2,9/2) is soltuion

Not sure if I'm right but I believe they intersect at (1,4).