Linear inequalities

Question

Solve the system by the method of your choice

{ x = 2y + 8

{ 2x - 4y =16

What is the solution set

Answer 1

multiply 1st equation by 2

2x = 4y +16

2x -4y = 16

the two equations are the same, with a solution set that is infinite

{2y+8, y} or {x,x/2-4}

x or y could be any value. only restriction is that x and y are related as above or below

x=2y+8 or y=x/2-4