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4x+2y=9
-4x+4y= -8
4x+2y=9
---------------
4y+2y= -8+9
6y=1/:6
y=1/6
x-y=2
x-1/6=2
x=2+1/6
x=2 1/6
================
5x+7y=6
5x+3y=2/*(-1)
5x+7y=6
-5x-3y= -2
----------------
7y-3y=6-2
4y=4/:4
y=1
5x+7y=6
5x+7*1=6
5x+7=6
5x=6-7
5x= -1/:5
x= -1/5
==================
6x+5y=21
3y=1/3+x
6x+5y=21
x-3y= -1/3/*3
6x+5y=21
3x-9y= -1/*(-2)
6x+5y=21
-6x+18y=2
---------------
5y+18y=21+2
23y=23/:23
y=1
6x+5y=21
6x+5*1=21
6x+5=21
6x=21-5
6x=16/:6
x=16/6
x=2 4/6
x=2 2/3
================
x+3y=6/*2
-2x+y= -5
2x+6y=12
-2x+y= -5
-------------
6y+y=12-5
7y=7/:7
y=1
x+3y=6
x+3*1=6
x=6-3
x=3