Question

What are the coordinates of the one point shared in common between the two linear functions give below?

Answer 1

Substitute 1 equation in the other

y = 2x-2 -----(1)
3y+x = 15 -----(2)

substitute (1) into (2)
3(2x-2)+x=15
6x-6+x=15
7x=21
x=3

now substitute x=3 into (1)
y =2(3)-2
y= 4

coordinates of point of intersection = (3,4)