( Zadanie 2 strona 175 - matematyka 1 nowy wymiar zadania domowego )
Rozwiąż równania
a) -3x=2x-10 b)2x-2=7-x c)10=4-2x d)-(2x-1)=x e)2(x+1)=x f)2t-(3t+1)=6 g) - (4+x)=2(3-x) h)3(y+6)-y=2(y+9) i)x-7-2(3x+5)=3 WYBIERAM NAJ ;* BŁAGAM MAM TO NA JUTRO :(
a) -3 - 2x = -10
-5x = -10 : -5
x = 2
b) 2x + x = 7 + 2
3x = 9 : 3
x = 3
c)
2x = 4 - 10
2x = -6
x = -3
d)
-2x-x= -1
-3x= -1
x= 1/3
e)
2x + 2 = x
x = -2
f)
-t-1=6
-t=6+1
-t=7
t = -7
g)
-4 - x = 6 - 2x
x = 10
h)
3y + 18 -y = 2y + 19
0 = 1
i)
x-7-6x-10=3
-5x = 3 + 7 + 10
-5x = 20 |: -5
x = -4
-5x = -10/:(-5)
x = 2
b)2x-2=7-x
3x = 9/:3
x =3
c)10=4-2x
2x = -6/:2
x = -3
d)-(2x-1)=x
-3x = -1/:(-3)
x = 1/3
e)2(x+1)=x
x = -2
f)2t-(3t+1)=6
-t = 7/: (-1)
t = -7
g) - (4+x)=2(3-x)
-4 - x = 6 -2x
x = 10
h)3(y+6)-y=2(y+9)
3y + 18 - y = 2y + 18
2y -2y = 18 -18
równanie sprzeczne
i)x-7-2(3x+5)=3
x - 7 - 6x - 10 =3
-5x = 20/: (-5)
x = -4
-3x-2x=-10
-5x=-10 | ;(-5)
x=2
b)2x-2=7-x
3x=7+2
3x=9 | : 3
x=3
c)10=4-2x
2x=-10+4
2x=-6 | ;(2)
x=-3
d)-(2x-1)=x
-2x+1=x
-3x=-1 |;(-3)
x=3
e)2(x+1)=x
2x+2=x
1x=-2 |; (1)
x=-2
f)2t-(3t+1)=6
-6t+2t=6
-4t=6 |;(-4)
T=-1,5
g) - (4+x)=2(3-x)
-4-x=6-2x
-x+2x=4+6
1x=10 |;1
x=10
h)3(y+6)-y=2(y+9)
3y+18-y=2y+18
3y-y-2y=-18+18
1y=0
y=0
i)x-7-2(3x+5)=3
x-7-6x-10=3
x-6x=7+10+3
-5x=20 |; (-5)
x=-4