SOLUTION: not sure what exactly this is on: solve the system. If the system has infinitely many solutions, write the set with z arbitrary. 5x-3y+z=0 x+y=0 -15x+9y-3z+0 thank you

Algebra ->  Systems-of-equations -> SOLUTION: not sure what exactly this is on: solve the system. If the system has infinitely many solutions, write the set with z arbitrary. 5x-3y+z=0 x+y=0 -15x+9y-3z+0 thank you      Log On


   



Question 928908: not sure what exactly this is on: solve the system. If the system has infinitely many solutions, write the set with z arbitrary.
5x-3y+z=0
x+y=0
-15x+9y-3z+0
thank you

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
3(5x-3y+z=0)
-15x+9y-3z=0
0 = 0 Infinite solutions
............
x+y=0 y = -x
let z = a
5x-3y+z=0
5x + 3x + a = 0
x = -a/8
......x = -y
-5y-3y+a=0
y = a/8
Using z = a
(-a/8, a/8, a)