Question

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x + y = 6
x - y = 0

one solution
no solution
infinite

Answer 1

@ribhu

Answer 2

well if you re arrange the two equations into the form y=mx+c
you can tell that the lines are not parallel as they have different gradients, therefore their must be atleast one solution

also, if you rearrange into the form y=mx+c
you can tell that the lines are not the same line, therefore it won't have infinite solutions

now just solve the simultaneous equations

Answer 3

to get your solution