SOLUTION: (1, -4, 3) is the solution to the system, true or false? x+y+z=0 x-y+5z=20 5x+y+z=4

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: (1, -4, 3) is the solution to the system, true or false? x+y+z=0 x-y+5z=20 5x+y+z=4      Log On


   

Question 56167: (1, -4, 3) is the solution to the system, true or false?
x+y+z=0
x-y+5z=20
5x+y+z=4
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
plug in the (x, y, z) values to each one
(1, -4, 3)
1. +x%2By%2Bz=0+
+1-4%2B3=0+
+0+=+0+
TRUE!!

2. +x-y%2B5z=20+
+1--4%2B5%283%29=20+
+1+%2B+4+%2B+15+=+20+
+20+=+20+
TRUE!!

3. +5x%2By%2Bz=4+
+5%281%29-4+%2B3+=+4+
+5+-4+%2B3+=+4+
+4+=+4+
TRUE!!
Since all three are true, it is the solution.