Question

Rozwiąż układ równań.

{2x + ( 2 - y )^2 + y = 6 + y^2

{( x + y ) * ( x - 1 ) - 2( y - 2) * x + 3 = x * ( x - y )

Te dwie klamry to tjb jedna. Proszę o pomoc, to na jutro :(

Answer 1

{2x+(2-y)²+y =6+y²

{( x+y )( x-1)-2(y-2)* x+3 = x*( x - y )

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{2x+4-4y+y²+y =6+y²

{x²-x+ xy-y -2yx+4x+3 = x²-xy

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{2x-3y=2

{3x-y=-3

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{2x-3y=2

{y=3x+3

 

2x-3(3x+3)=2

2x-9x+9=2

-7y=-7

 

y=1

x=2,5

 

 

Answer 2

{2x+(2-y)²+y=6+y²

{(x+y)·(x-1)-2(y-2)·x+3=x·(x-y)

{2x+4-4y+y²+y=6+y²

{x²+xy-x-y-2xy+4x+3=x²-xy

{2x-3y=2

{3x-y=-3

{y=3x+3

{2x-3(3x+3)=2

{y=3x+3

{2x-9x-9=2

{y=3x+3

{-7x=2+9

{-7x=11  /:(-7)

{x=-11/7=-1⁴/₇

{y=3·(-11/7) +3=-33/7 +3 =-4⁵/₇ +3 =-1⁵/₇