Question

Pleass please help



How many solutions are there to the following system of equations?

2x + 6y = 4
5x + 15y = 10

A. 0
B. 1
C. 2
D.infinitely many

Answer 1

2

Answer 2

5x - 15y = 10.....reduce by dividing by 5
x - 3y = 2
put in y = mx + b form
-3y = -x + 2
y = 1/3x - 2/3

2x + 6y = 2 -- reduce by dividing by 2
x + 3y = 1
put it in y = mx + b form
3y = -x + 1
y = -1/3x + 1/3

since the slopes are different, then there is only 1 solution