1.Rozwiąż układ równań
a) 3-3x=3y+2
y+5=4x-3
b)-2(5x-2y)+4(2x+y)=1
3(2x-y)-(y+7x)=5,5
a) 3-3x=3y+2 /-3y-3
y+5=4x-3 /-5-4x
----------------------------------------------------
-3x-3y=-1
-4x+y=-8 /*3
---------------------------------------------------
-12x+3y=-24
---------------------------dodajemy stronami
-15x=-25 /:(-15)
x=5/3
-3*(5/3)-3y=-1
------------------------------------------
-5-3y=-1
---------------------------------
-3y=4 /:(-3)
y=-4/3
b) -2(5x-2y)+4(2x+y)=1
----------------------------------------------
-10x+4y+8x+4y=1
6x-3y-y-7x=5,5
--------------------------------------------------
-2x+8y=1
-x-4y=5,5 /*2
----------------------------------
-2x-8y=11
-------------------------------dodajemy stronami
-4x=12 /:(-4)
x=-3
-2*(-3)+8y=1
-----------------------------------
6+8y=1
8y=-5 /:8
-----------------------
y=-5/8
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a) 3-3x=3y+2 /-3y-3
y+5=4x-3 /-5-4x
----------------------------------------------------
-3x-3y=-1
-4x+y=-8 /*3
---------------------------------------------------
-3x-3y=-1
-12x+3y=-24
---------------------------dodajemy stronami
-15x=-25 /:(-15)
x=5/3
-3*(5/3)-3y=-1
------------------------------------------
x=5/3
-5-3y=-1
---------------------------------
x=5/3
-3y=4 /:(-3)
---------------------------------
x=5/3
y=-4/3
b) -2(5x-2y)+4(2x+y)=1
3(2x-y)-(y+7x)=5,5
----------------------------------------------
-10x+4y+8x+4y=1
6x-3y-y-7x=5,5
--------------------------------------------------
-2x+8y=1
-x-4y=5,5 /*2
----------------------------------
-2x+8y=1
-2x-8y=11
-------------------------------dodajemy stronami
-4x=12 /:(-4)
x=-3
-2*(-3)+8y=1
-----------------------------------
x=-3
6+8y=1
-----------------------------------
x=-3
8y=-5 /:8
-----------------------
x=-3
y=-5/8