Question

Please Help! Algebra Question...
Do the systems shown have the same solution set?
I am confused about the definition of a solution set, but I would assume no. Am I correct?

Answer 1

in terms of systems of 2 equations, the solution set is any points of intersection

Answer 2

oh, ok. thank you

Answer 3

if two lines only cross once, then the solution is the point of intersection

if they never cross, then there are no solutions (the solution set is empty)

if one line is overlapping another, then there are infinitely many solutions in the solution set

Answer 4

I read that "With a system of equations or system of inequalities, the solution set is the set containing value(s) of the variable(s) that satisfy all equations and/or inequalities in the system." but if they have a point or points in common, then they share the same solution set? solution set, being a point?

Answer 5

yes in this case, both pairs of lines intersect at (0,2)

Answer 6

so that's what they both have in common

Answer 7

so that's why it's saying they share the same solution

Answer 8

thank you =)

Answer 9

np