(1)  		+2i1  +5i2  +2i3                     == +56
(2)  		      -5i2        +i4  +4i5	     == 0
(3)  	        -2i1              -i4        +10i6   == 0
(4)     	+i1         -i3              +i6     == 0
(5)  		+i1   -i2         -i4	             == 0
(6)  		                  +i4  -i5   +i6     == +2 
===========================================================/
(4)X2
===========================================================\
(1)  		+2i1  +5i2  +2i3                     == +56
(2)  		      -5i2        +i4  +4i5	     == 0
(3)  	        -2i1              -i4        +10i6   == 0
(4)x2   	+2i1        -2i3             +2i6    == 0
(5)  		+i1   -i2         -i4	             == 0
(6)  		                  +i4  -i5   +i6     == +2 
===========================================================/
eliminate i3 [1/4]
===========================================================\
(1)  		+4i1  +5i2                   +2i6    == +56
(2)  		      -5i2        +i4  +4i5	     == 0
(3)  	        -2i1              -i4        +10i6   == 0
(5)  		+i1   -i2         -i4	             == 0
(6)  		                  +i4  -i5   +i6     == +2 
===========================================================/
(6)x4 
===========================================================
(1)  		+4i1  +5i2                   +2i6    == +56
(2)  		      -5i2        +i4  +4i5	     == 0
(3)  	        -2i1              -i4        +10i6   == 0
(5)  		+i1   -i2         -i4	             == 0
(6)x4  		                  +4i4 -4i5  +4i6    == +8
===========================================================/
eliminate i5 [2/6]
===========================================================\
(1)  		+4i1  +5i2                   +2i6    == +56
(2)  		      -5i2        +5i4       +4i6    == +8
(3)  	        -2i1              -i4        +10i6   == 0
(5)  		+i1   -i2         -i4	             == 0
===========================================================/
(3)x5 & (5)x5
===========================================================\
(1)  		+4i1  +5i2                   +2i6    == +56
(2)  		      -5i2        +5i4       +4i6    == +8
(3)x5  	        -10i1             -5i4       +50i6   == 0
(5)x5  		+5i1  -5i2        -5i4	             == 0
===========================================================/
eliminate i4 [2/3] & [2/5 ->(7)]
===========================================================
(1)  		+4i1  +5i2                   +2i6    == +56
(2)  		-10i1 -5i2                   +54i6   == +8
(7)  		+5i1  -10i2                  +4i6    == +8
===========================================================/
(3)x3 & (5)x3
===========================================================
(1)x5  		+20i1 +25i2                  +10i6   == +280
(2)x2  		-20i1 -10i2                  +108i6  == +16
(7)x4  		+20i1 -40i2                  +16i6   == +32
===========================================================/
eliminate i1 [1/2] & [7/2]
===========================================================
(1)  		      +15i2                  +118i6  == +296
(7)  		      -50i2                  +124i6  == +48
===========================================================/
(1)x42 & (7)x25
===========================================================
(1)x10 		      +150i2                 +1180i6 == +1840
(7)x3 		      +150i2                 +372i6  == +144
===========================================================/
eliminate i5 [1/7]
===========================================================\\\
(1) 		                             +818i6 == +1696

i6 = 1696 / 818 = 2.03 = 2