f(x)=4x-3 and g(x) =2x+5

Answer 1

These two lines/functions can intersect at point (x, y) if point (x, y) is the same point for Line 1 and for Line 2. So, at the point of intersection the (x, y) coordinates for Line 1 equal the (x, y) coordinates for Line 2.

as a result, 4x-3 = 2x+5

then 4x-2x = 5+3

2x = 8

x = 8/2 = 4

f(x) = y = 4*4 - 3 = 16-3 = 13

g(x) = y = 2*4 + 5 = 13

the 2 lines intersect at point (4, 13)