a) 1/3x-2=x+2 -2-2=x-1/3x -4=2/3x | :2/3 -6=x b)1-6/7x=4/7 1-4/7=6/7x 3/7=6/7x |:6/7 3/7*7/6=x 1/2=x c)6(1/4x-2)=18 1 1/2x -12=18 1 1/2x=18+12 1 1/2x=30 | : 1 1/2 x=20 d) x/6 - 1/6 = 1 |*6 x-1=6 x=6+1 x=7 e) -2(2x - 1) = x/3 |*3 -6(2x-1)=x -12x+6=x 6=x+12x 6=13x |:13 6/13=x f)2/5(3 - x) = -2 |*5 2(3-x)=-10 6-2x=-10 6+10=2x 16=2x |:2 8=x g) 3/4 (2 - 3x) = -6 |*4 3(2-3x)=-24 6-9x=-24 6+24=9x 30=9x |:9 9/30=9 3/10=x h) 1/5 (x - 3) = 9-x |*5 1(x-3)=45-5x x-3=45-5x x+5x=45+3 6x=48 |:6 x=8 i) 0,6 + x/2 = x+1 |*2 1,2+x=2x+2 1,2-2=2x-x -0,8=x
a) ⅓x-x = 2+2 -⅔ x= 4 / : (-⅔) x = 6 b) -⁶/₇x = ⁴/₇-1 -⁶/₇x = - ³/₇ / *(-⁷/₆) x = ½ c) 3/2x-12 = 18 3/2x = 30 / * ⅔ x = 20 d) x/6- ¹/₆ = 1 / *6 x = 2 e) -4x+2 = x/3 / *3 -12x-x=-2 -> -13x = -2 / :(-13) x = ²/₁₃ f) ⁶/₅-⁹/₅x = -2 / *5 -9x = -6-10 x = ¹⁶/₉ g) ³/₂ - ⁹/₄x = -6 / *4 -9x = -6-6 x = ⁴/₃ h) ¹/₅x-⅗ = 9-x / *5 x+5x = 45+3 6x=48 / :6 x=8 i) 0,6+x/2 = x+1 / *2 x-x=1-1,2 0x =0,2 – RÓWNANIE SPRZECZNE.
a)1/3x- 2 = x+2/*3 x-6- 3x+6/+6 x+3x=12 -2x=12/:(-1) 2x= (-12)/:2 x= -6 b)1-6/7x = 4/7 /*7 7-6x=4/-6 -6x=-3/;(-1) 6x=3/:6 x=1/2 c) 6(1/4x - 2) = 18 1.5x-12=18/+12 1.5x=30/:1.5 x=20 d)x/6 - 1/6 = 1/*6 x-1=6/+1 x+7 e)-2(2x - 1) = x/3 -4x-2=x/3 /*3 -12x-6=x/+12x -6=13x/:13 -0.46=x f)2/5(3 - x) = -2 1.2-2/5x= -2/ -1.2 -2/5x= -3.2/:(-1) x=8 g) 3/4 (2 - 3x) = -6 1.5-10.2x+-6/-1.5 -10.2x=-7.5/:(-1) 10.2x=7.5/:10.2 x=74/100 h) 1/5 (x - 3) = 9-x 1.2x-0.6=9/+0.6 1.2x=9.6/:1.2 x=8 i) 0,6 + x/2 = x+1/*2 1.2+x= 2x+2/-x 1.2=x+2/-2 -0.8=x