Question

Are the following equations (1,2,3) one solution, infinitely many solutions, or no solution for each one? Please and Thank You


1.


y-3x=5

y=3x+5


2.


y=6x+2

y=6x-2


3.


y=5x+9

y=3x-2

Answer 1

1.when you change the first equation to the form it is the same as the second which means infinite solutions

y-3x=5 --->y=3x+5 then set them equal to find many possible solutions

2.this is no solution because the slopes are the same when you combine these equation the 2's cancel out and you ar left with y=12x which cannot be solved

3.when everything is different there is one solution