Czyli tych przekreślonych nie muszę robić? 1. c) -5x-17 = -9x+3 -5x+9x = 3+17 4x = 20 /:4 x = 5 g) 7x+2 = 3+5x+9 7x-5x = 12-2 2x = 10 /:2 x = 5 2. a) 2(x-3)+3(4-x) = 5 2x-6+12-3x = 5 -x+6 = 5 -x = 5-6 -x = -1 /:(-1) x = 1 c) 2(x+4)-5(x+3) = 2 2x+8-5x-15 = 2 -3x-7 = 2 -3x = 2+7 -3x = 9 /:(-3) x = -3 d) -2(x+3)+4(2x+3) = -6 -2x-6+8x+12 = -6 6x+6 = -6 6x = -6-6 6x = -12 /:6 x = -2 3. a) (4-2x)-(x+3) = (x-5)+(-3-x) 4-2x-x-3 = x-5-3-x -3x+1 = -8 -3x = -8-1 -3x = -9 /:(-3) x = 3 b) (3-2x)+(3x+4) = -(3-2x)+(5x+4) 3-2x+3x+4 = -3+2x+5x+4 x+7 = 1+7x x-7x = 1-7 -6x = -6 /:(-6) x = 1 c) -(x+3)+(2x-1) = (1+4x)+(3+x) -x-3+2x-1 = 1+4x+3+x x-4 = 5x+4 -4x = 8 /:(-4) x = -2 d) -(x+3)-(2x+8) = (-3-2x)+(2x+1) -x-3-2x-8 = -3-2x+2x+1 -3x-11 = -2 -3x = -2+11 -3x = 9 /:(-3) x = -3 4. b) (4-x)-(2x+3)+(x-4) = -(2x-3)-(x+7) 4-x-2x-3+x-4 = -2x+3-x-7 -2x-3 = -3x-4 -2x+3x = -4+3 x = -1 c) (4x-5)+(x-7)-(2x-8) = (-3x+4)-(x-6) 4x-5+x-7-2x+8 = -3x+4-x+6 3x-4 = -4x+10 3x+4x = 10+4 7x = 14 /:7 x = 2 d) -(4-2x)-(2x+4) = (3x-1)+(2x-5)-(7-3x) -4+2x-2x-4 = 3x-1+2x-5-7+3x -8 = 8x-13 -8+13 = 8x 5 = 8x /:8 x = 0,625
Zad.1 c) -5x-17=-9x+3 -5x+9x=17+3 4x=20 |:4 x=5 g)7x+2=5+3x+9 7x-3x= -2+5+9 4x=12|:4 x=3 Zad.2 a)2(x-3)+3(4-x)=5 2x-6+12-3x=5 -x+6=5 -x=5-6 -x= -1|* (-1) x=1 c) 2(x+4)-5(x+3)=2 2x +8-5x-15=2 -3x-7=2 -3x=7+2 -3x=9|:(-3) x= -3 d)-2(x+3)+4(2x+3) = -6 -2x-6+8x+12 = -6 6x+6 = -6 6x = -6-6 6x = -12 /:6 x = -2 Zad.3 a) (4-2x)-(x+3)=(x-5)+(-3-x) 4-2x-x-3=x-5-3-x -3x+1=-8 -3x=-8-1 -3x=-9|: (-3) x=3 b) (3-2x)+(3x+4)= -(3-2x)+(5x+4) 3-2x+3x+4=3+2x+5x+4 7+x=7+7x 7-7=-x+7x 0=-6x To jest równanie tożsamościowe. c) -(x+3)+(2x-1)=(1+4x)+(3+x) x-3+2x-1=1+4x+3+x 3x-4=4+5x 3x-5x=4+4 -2x=8|:(-2) x= -4 d)-(x+3)-(2x+8) = (-3-2x)+(2x+1) x-3-2x-8=-3-2x+2x+1 -x-11=-2 -x=11-2 -x=9|*(-1) x=(-9) Zad.4 b)(4-x)-(2x+3)+(x-4) = -(2x-3)-(x+7) 4-x-2x-3+x-4=2x+3-x-7 -2x-3 = -3x-4 -2x+3x = -4+3 x =(-1) c)(4x-5)+(x-7)-(2x-8) = (-3x+4)-(x-6) 4x-5+x-7-2x+8 = -3x+4-x+6 3x-4 = -4x+10 3x+4x = 10+4 7x = 14 /:7 x = 2 d)-(4-2x)-(2x+4) = (3x-1)+(2x-5)-(7-3x) -4+2x-2x-4 = 3x-1+2x-5-7+3x -8 = 8x-13 -8+13 = 8x 5 = 8x /:8 x = 0,625 ;)