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explain how system 1 becomes equivalent to system 2.

system 1:
ax + by = c
lx + my = n

system 2:
(a + l)x + (b + m)y = c + n
ax + by = c

the first equation in system 2 is the sum of the equations in system 1. the second equation in system 2 is the first equation in system 1.
the first equation in system 2 is the difference of the equations in system 1. the second equation in system 2 is the first equation in system 1.
the first equation in system 1 is the sum of the equations in system 2. the second equation in system 1 is the second equation in system 2.
the first equation in system 1 is the difference of the equations in system 2. the second equation in system 1 is the second equation in system 2.