Question

How do you use substitution or elimination to solve the system of equations? `2x-3y-z=0`, `3x+2y+2z=2`, and `x+5y+3z=2`

Answer 1

The given system of eqns. has infinitely many solutions.

Explanation:

Name the given eqns. `2x-3y-z=0..............................<<1>>.`

`3x+2y+2z=2...........................................................<<2>>.`

`x+5y+3z=2..............................................................<<3>>.`

Observe that, adding `<<1>> and <<3>>," we get "<<2>>.`

Therefore, the given system of eqns. has infinitely many solns.