1)uklady metoda algebraiczna
a)
{3x-y=2
{x+2y=3
b)
{-3x+y=1
{4x-2y=2
c)
{2x-y=5
{8x+2y=2
d)
{x-2y=3
{y-2x=3
e)
{-2x+y=-5
{3x-2y=7
f)
{-2x-2y+-8
{x-2y=1
DAje duzo PROSZE
a)
{3x-y=2
{x+2y=3
b)
{-3x+y=1
{4x-2y=2
c)
{2x-y=5
{8x+2y=2
d)
{x-2y=3
{y-2x=3
e)
{-2x+y=-5
{3x-2y=7
f)
{-2x-2y+-8
{x-2y=1
DAje duzo PROSZE
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Odpowiedzi
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A)
{3x-y=2
{x+2y=3 ==> x=3-2y
{9-6y-y=2
{x=3-2y
{7=7y => y=1
{x=3-2*1
{x=1
{y=1
b)
{-3x+y=1 ==> y=1+3x
{4x-2y=2
{y=1+3x
{4x-2-6x=2
{y=1+3x
{-2x=4
{y=1+3x
{x=-2
{x=-2
{y=-5
c)
{2x-y=5 ==> y=2x-5
{8x+2y=2
{y=2x-5
{8x+4x-10=2
{y=2x-5
{12x=12
{x=1
{y=2-5
{x=1
{y=-3
d)
{x-2y=3 ==> x=3+2y
{y-2x=3
{x=3+2y
{y-6-4y=3
{x=3+2y
{-3y=9
{x=3+2y
{y=-3
{x=-3
{y=-3
e)
{-2x+y=-5 ==> y=-5+2x
{3x-2y=7
{3x+10-2x=7
{y=-5+2x
{x=-3
{y=-11
f)
{-2x-2y+-8
{x-2y=1 ==> x=1+2y
{x=1+2y
{-2-4y-2y=-8
{x=1+2y
{-6y=-6
{x=3
{y=1
{3x-y=2
{x+2y=3 ==> x=3-2y
{9-6y-y=2
{x=3-2y
{7=7y => y=1
{x=3-2*1
{x=1
{y=1
b)
{-3x+y=1 ==> y=1+3x
{4x-2y=2
{y=1+3x
{4x-2-6x=2
{y=1+3x
{-2x=4
{y=1+3x
{x=-2
{x=-2
{y=-5
c)
{2x-y=5 ==> y=2x-5
{8x+2y=2
{y=2x-5
{8x+4x-10=2
{y=2x-5
{12x=12
{x=1
{y=2-5
{x=1
{y=-3
d)
{x-2y=3 ==> x=3+2y
{y-2x=3
{x=3+2y
{y-6-4y=3
{x=3+2y
{-3y=9
{x=3+2y
{y=-3
{x=-3
{y=-3
e)
{-2x+y=-5 ==> y=-5+2x
{3x-2y=7
{3x+10-2x=7
{y=-5+2x
{x=-3
{y=-11
f)
{-2x-2y+-8
{x-2y=1 ==> x=1+2y
{x=1+2y
{-2-4y-2y=-8
{x=1+2y
{-6y=-6
{x=3
{y=1
