The system of equations are
.
------------------> (1)
------------> (2)
-------------> (3)
Use elimination to make a system of two equations in two variables.
\Addition equations (1) and (2).
\
--------------> (4)
Multiply equation (3) by 2.
\
------------------> (5)
Addition equations (5) and (2).
\
--------------> (6)
Subtract equations (4) from (6).
\
Infinitely many solutions.