Answer:
(2, 1) is the point where the two lines intersect.
To prove it I'll use substitution
The equations are:
y = 2x - 3 and y = -3x + 7
I'll plug in 2x - 3 for y in y = -3x + 7 so...
2x - 3 = -3x + 7
Simplify:
5x = 10
x = 2
Now I'll plug 2 for x in y = 2x - 3
y = 2(2) - 3
y = 4 - 3
y = 1
So the ordered pair/solution is (2, 1)
Hope that explains it!