a)4x-1=2x+5 4x-2x=5+1 2x=6 /:2 x=3 b)3(x+5)=45 3x+15=45 3x=45-15 3x=30 /:3 3x=10 c)15-4(x-1)=2+2(x-3) 15-4x+4=2+2x-6 -4x-2x=2-6-4-15 -6x=-23 /:(-6) x=3 i 5/6 d)5/6x=3-2x /*6 5x=18-12x 5x+12x=18 17x=18 /:17 x=18/17 x=1 i 1/17 e)3/5x-7/10=1/10+4/5 /*10 6x-7=1+8 6x=1+8+7 6x=16 /:6 x=16/6 x=2 i 4/6 x=2 i 2/3
a) 4x-1=2x+5 4x - 2x= 5 +1 2x= 6 x= 6 : 2 x= 3 spr. 4x - 1 = 2x + 5 L= 4x - 1= 4 *3 - 1= 12 - 1= 11 P= 2x + 5= 2*3 + 5= 6 + 5= 11 11=11 L=P b) 3(x+5)=45 3x + 15 = 45 3x= 45 - 15 3x= 30 x= 30 : 3 x= 10 spr. 3(x+5) = 45 L= 3(x + 5) = 3(10 + 5) = 3 * 15= 45 P= 45 45=45 L=P c) 15-4(x-1)=2+2(x-3) 15 - 4x +4 = 2 + 2x - 6 -4x + 19 = 2x - 4 -4x - 2x = - 4 - 19 - 6x= - 23 x= - 23 : (-6) x= 3 i 5/6 spr. 15-4(x-1)=2+2(x-3) L= 15 - 4(x-1) = 15 - 4(3 i 5/6 - 1) = 15 - 4* 2 i 5/6 = 15 - 4*17/6 = 15 - 2 * 17/3= 15 - 34/3 = 15 - 11 i 1/3= 3 i 2/3 P= 2 + 2(x -3) = 2 + 2(3 i 5/6 - 3) = 2 + 2 * 5/6 = 2 + 10/6 = 2 + 1 i 4/6 = 3 i 4/6= 3 i 2/3 3 i 2/3 = 3 i 2/3 L=P d) 5/6x=3-2x 5/6x + 2x= 3 2 i 5/6x = 3 x= 3 : 2 i 5/6 x= 3 : 17/6 x= 3 * 6/17 x= 18/17 x= 1 i 1/17 spr. 5/6x= 3-2x L= 5/6x= 5/6 * 1 i 1/17 = 5/6 * 18/17 = 5/1 * 3/17 = 15/17 P= 3 - 2x= 3 - 2* 1 i 1/17 = 3 - 2* 18/17 = 3 - 36/17= 3 - 2 i 2/17= 15/17 15/17= 15/17 L=P e) 3/5x- 7/10= 1/10+ 4/5 3/5x - 7/10 = 1/10 + 8/10 3/5x - 7/10 = 9/10 3/5x= 9/10 + 7/10 3/5x= 16/10 x= 16/10 : 3/5 x= 16/10 * 5/3 x= 16/2 * 1/3 x= 16/6 x= 2 i 4/6 x= 2 i 2/3 spr. 3/5 x- 7/10= 1/10+ 4/5 L= 3/5x - 7/10 = 3/5 * 2 i 2/3 - 7/10 = 3/5 * 8/3= 24/15 - 7/10 = 48/30 - 21/30 = 27/30 = 9/10 P= 1/10 + 4/5 = 1/10 + 8/10 = 9/10 9/10 = 9/10 L=P
