SOLUTION: Hello. I'm trying to solve this System of Equations with three variables. r+s=5 3s+2t=-1 4r+t=14

Question 726685: Hello.
I'm trying to solve this System of Equations with three variables.
r+s=5
3s+2t=-1
4r+t=14

Found 2 solutions by lwsshak3, tanjo3:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
(1) r+s=5
(2) 3s+2t=-1
(3) 4r+t=14
..
3s+3r=15 (mult.1st eq by 3)
3s+2t=-1
subtract
3r-2t=16
8r+2t=28 (mult.3rd eq by 2)
add
11r=44
r=4
s=5-r=1
t=14-4r (3rd eq)
=14-16
=-2
r=4
s=1
t=-2
Answer by tanjo3(60) (Show Source): You can put this solution on YOUR website!
Equation 1:
Equation 2:
Equation 3:
Solve for s in (1):

Solve for t in (2):

Solve for r in (3):

Sub r=4 in (1)

Sub s=1 in (2)

So, r=4, s=1, t=-2
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