Question

Identify the number of solutions for the systems of equations
3x-12y=6
4y=12-6x

a) one
b)none
c)infinite
d) cannot be determined

Answer 1

lets get them looking the same; get all variables to one side and constants to the other like this:

3x -12y = 6

6x +4y = 12

Answer 2

if they are parallel, they have the same slope:

-3/-12 = -6/4 not gonna be parallel so (c) is out of the picture

Answer 3

since they are lines; they can be determined to (d) is out of the picture as well

Answer 4

they are not the same line, or else they d be parallel ; and they aint parallel so (c); as well as (b) is out

Answer 5

go with (a)

Answer 6

thanks