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10 x +y + 54 = 10y+x
x+y=12
10x+y-10y-x=-54
x+y=12
9x-9y=-54 /:9
x+y=12
x-y=-6
+ -----------
2x=6 /:2
x=3
3+y=12
y=9
x=3
y=9
10x+y+54=10y+x
x=12-y
10(12-y)+y+54=10y+12-y
x=12-y
120-10y+y+54=9y+12
x=12-y
174-9y=9y+12
x=12-y
-9y-9y=12-174
x=12-y
-18y=-162 /-18
x=12-y
y=9
x=12-9
y=9
x=3
y=9