The system of equations are
.
------------------> (1)
------------> (2)
-------------> (3)
Use elimination to make a system of two equations in two variables.
\Multiply equation (1) by 3.
\
--------------> (4)
Addition equations (4) and (2).
\
--------------> (5)
Multiply equation (1) by 4.
\
--------------> (6)
Subtract equations (3) and (6).
\
--------------> (7)
Addition equations (5) and (7).
\
Infinitely many solutions.