What’s is the system of linear equations

Answer 1

n equations, n unknowns each with no power except 1 or 0, just x, y, z no squared terms, no cubic terms, just the variables and possible constants.

you can solve them with substitution and elimination or matrix algebra.

simplest system is 2 variables such as

x+y = 2

x-y = 4

sum them to get

2x =6 or x = 3

y=2-3 = -1

It gets more complicated and tedious with more variables

some systems are inconsistent with no solution

some linearly dependent with infinite solutions

or with a unique solution such as above