Question

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 5 x + y = 7

Answer 1

on a graph they never have a point where the two lines meet

Answer 2

x+y=5 and x+y=7
the solution set is where they intersect

if we graph them, we see they are paralell and will never intersect
so there are no points at which they intersect

the solution set is the empty set.