Explain how you know a system of equations has

exactly one solution

no solution

infinitely many solutions

When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept

example

3x+2y=2 and

3x+2y=4 are paralell

also

y=3x+2 and

y=3x+4 are also parlell, no solutions

infinite solutions are when they are the same line

they have the same slope and y intercept

to find out, simplify

3x+2y=4 and

6x+4y=8 are smae lien

also

y=3x+2 and

2y=6x+4 aer the same line

1 solution is when it is none of the above things

a normal thing, where the slopes are differnet

example

y=2x+2

y=3x+2