SOLUTION: Is it possible to solve the following system of equations through substitution. If it is, then list the values for x, y, and z. -4x+5y-3z=17 -3x-2y-4z=-1 5x+5y+4z=12

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Question 1175559: Is it possible to solve the following system of equations through substitution. If it is, then list the values for x, y, and z.
-4x+5y-3z=17
-3x-2y-4z=-1
5x+5y+4z=12
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

.....eq.1
.....eq.2
.....eq.3
----------------------------------------
start with
.....eq.3
.....eq.1
-------------------------------------------subtract eq.1 from eq.3
.....eq.3

....solve for

.....eq.1a

go to
.....eq.2
.....eq.3
-------------------------------------------add eq.2 from eq.3

...solve for

.....eq.1b

from eq.1a and eq.1b we have
..solve for

.....eq.1c

go to
.....eq.1b, substitute

..........1d

.....eq.2, substitute and from 1d and 1c

go to
.....eq.1c, substitute

go to
.....eq.1b, substitute

solution set: