a) x/5-2/3+3/2=x/10-3/5-2x/3 /*30 6x - 20 + 45 = 3x - 18 - 20x 6x + 25 = -17x -18 6x + 17x = -18 -25 23x = - 43 x = - 43/23 L (-43/23) = (-43/23)*1/5 - 4/6 + 9/6 = -43/115 + 5/6 = -258/690 + 575/690 =317/690 P (-43/23) = (-43/23)*1/10 - 3/5 -2/3*(-43/23) =-43/230 -3/5 + 86/69 = = -129/690 - 414/690 + 860/690 = 317/690 L(-43/23) = P(-43/23) b) 1/20-3x/2+11/5=x/4-7/5 /*20 1 - 30x + 44 = 5x - 28 -30x -5x = -28 - 45 -35x = - 73 x = 73/35 L(73/35) = 1/20 - 3/2*73/35 + 11/5 =1/20 -219/70 +11/5 = 7/140 -438/140 + 308/140 = -123/140 P(73/35) = 1/4*73/35 -7/5 = 73/140 - 196/140 = -123/140 L(73/35) = P(73/35)
a) x/5-2/3+3/2=x/10-3/5-2x/3 x/5-4/6+9/6=x/10-3/5-2x/3 x/5-x/10+2x/3=4/6+9/6-3/5 2x/10-x/10+20x/30=20/30+45/30-18/30 x/10+20x/30=-47/30 3x/30+20x/30=-47/30 23x/30=-47/30 /*30 23x=-47 /:23 x=-47/23 Spr L (-43/23) = (-43/23)*1/5 - 4/6 + 9/6 = -43/115 + 5/6 = -258/690 + 575/690 =317/690 P (-43/23) = (-43/23)*1/10 - 3/5 -2/3*(-43/23) =-43/230 -3/5 + 86/69 = = -129/690 - 414/690 + 860/690 = 317/690 L(-43/23) = P(-43/23) /*-1 47/23=47/23 L=P b) 1/20-3x/2+11/5=x/4-7/5 1/20-30x/20+44/20=5x/20-28/20 1/20+44/20+28/20=30x/20+5x/20 /*20 1+44+28=30x+5x 73=35x :35 x=73/35 Spr L(73/35) = 1/20 - 3/2*73/35 + 11/5 =1/20 -219/70 +11/5 = 7/140 -438/140 + 308/140 = -123/140 P(73/35) = 1/4*73/35 -7/5 = 73/140 - 196/140 = -123/140 L(73/35) = P(73/35) L=P 73/35=73/35
a) x/5-2/3+3/2 = x/10-3/5-2x/3 |*30 6x-20+45 = 3x-18-20x 6x+25 = -18-17x 6x+17x = -18-25 23x = -43 |:23 x = -1i20/23 L = (-43/23*1/5)-2/3+3/2 L = (-43/115)-4/6+9/6 L = -43/115+5/6 L = -258/690+575/690 L = 317/690 P = (-43/23*1/10)-3/5-[(2*-43/23)*1/3] P = -43/230-138/230-(-86/23*1/3) P = -181/230-(-86/69) P = -181/230+86/69 P = -543/690+860/690 P = 317/690 L = P b) 1/20-3x/2+11/5 = x/4-7/5 |*20 1-30x+44 = 5x-28 -30x+45 = 5x-28 45+28 = 5x+30x 35x = 73 |:35 x = 73/35 x = 2i3/35 L = 1/20-(3/2*73/35)+11/5 L = 1/20-(219/70)+44/20 L = 45/20-219/70 L = 315/140-438/140 L = -123/140 P = (73/35*1/4)-7/5 P = 73/140-7/5 P = 73/140-196/140 P = -123/140 L = P
