1) -3-4x=3 /+3 -4x=6 /*(-1) 4x= -6/:4 x= -4/6 2) -3x+1 = 2x-1 /+3x 1=2x-1/+1 2=2x /:2 x=1 3) 4(x+1/2)= -(x+2) 4x+ 2 = -x - 2 /+2 4x+4 = -x /-4x 4= -5x /* (-1) -4 = 5x /:5 x= 0,8 4) -1/2(4x-2) = 3(x-1) -2x+1 = 3x-3 /+3 -2x + 4 = 3x / -2x 4 = x 5) 7-(2-x)2-x ?! <- nie ma tu równania. 6) 3x+1/7 - 2x - 1/3 = 6x - 2/21 x + 3/21 - 7/21 = 6x - 2/21 / -x -4/21 = 5x - 2/21 / +2/21 -2/21 = 5x /:5 x = 2/105 (w tym 6 jest tak, bo jak dzielimy ułamek, to wtedy zamieniamy miejscami i mnożymy, czyli jak miałaś :5 , to teraz masz *1/5 )
1)-3-4x=3 -4x = 3 + 3 -4x = 6 / : (-4) x = - 6/4 x = - 3/2 spr. -3 – 4 * (-3/2) = 3 -3 + 6 = 3 3=3 L=P 2)-3x+1=2x-1 -3x -2x = -1 -1 -5x = -2 /: (-5) x = 2/5 spr. -3 *2/5 +1 = 2 *2/5 -1 - 6/5 +1 = 4/5 -1 -1 i 1/5 + 1 = -1/5 -1/5 = -1/5 L=P 3)4(x+1/2)=-(x+2) 4x + 2 = -x -2 4x + x = -2 -2 5x = -4 /: 5 x = - 4/5 spr. 4( -4/5 + 1/2) = -( -4/5 +2) -16/5 + 2 = 4/5 -2 -3 i 1/5 +2 = - 1 i 1/5 -1 i 1/5 = - 1 i 1/5 L=P 4)-1/2(4x-2)=3(x-1) -2x + 1 = 3x -3 -2x -3x= -3 -1 -5x = -4 /: (-5) x = 4/5 spr. -1/2( 4*4/5 -2) = 3 ( 4/5-1) -1/2(16/5 – 2) = 3* (-1/5) -1/2( 3 i 1/5 -2) = - 3/5 -1/2 * 1 i 1/5 = -3/5 -1/2 * 6/5 = -3/5 -6/10 = -3/5 -3/5 = -3/5 L=P 6) 3x+1/7 - 2x-1/3=6x-2/21 /* 21 63x + 3 – 42x – 7 = 126x – 2 63x-42x-126x = -2 -3 +7 -105x= 2 /: (-105) x = - 2/105 spr. 3 * (-2/105) + 1/7 – 2 *(-2/105) – 1/3 = 6 * (-2/105) – 2/21 -6/105 + 1/7 + 4/105 -1/3 = -12/105 – 2/21 -6/105 + 15/105 + 4/105 – 35/105 = -12/105 – 10/105 -22/105 = -22/105 L=P
