SOLUTION: Is there a section for tips for linear systems with 3 variables? I found the solver for 2 variables and 2 equations but I could not find one for 3 variables and 3 equations z=t

Question 1153199: Is there a section for tips for linear systems with 3 variables? I found the solver for 2 variables and 2 equations but I could not find one for 3 variables and 3 equations
z=t - Solve systems using elimination
2x+y-3z=1
x-2y-z=3
x+8y-3z=-7
How would the answer be different t=z? What does t mean/represent? Thanks
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

this calculator is really good:
https://www.mathportal.org/calculators/system-of-equations-solver/system-3x3.php

.......1)
.......2)
.......3)
--------------------

.......2)
.......3)
-------------------------subtract

.......................1a)

.......1)...........substitute

..................1b)

.......2)....substitute and

-> is always true; so the system has solutions
The solutions to the system of equations are: ,

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