x+y=1
5x-y=3
_______
6x=4 /:6
x=4/6
4/6+y=1 /-4/6
y=2/6
x=2/3
y=1/3
{x+y=1 /*(-5)
{5x-y=3
{-5x-5y=-5
{-4y=-2/:(-2)
{x+y=1
{y=2
{x+2=1
{x=1-2
{x=-1
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x+y=1
5x-y=3
_______
6x=4 /:6
x=4/6
4/6+y=1 /-4/6
y=2/6
x=2/3
y=1/3
{x+y=1 /*(-5)
{5x-y=3
{-5x-5y=-5
{5x-y=3
{-4y=-2/:(-2)
{x+y=1
{y=2
{x+2=1
{y=2
{x=1-2
{y=2
{x=-1