i) y/2 + x/4 - 1/5(x+2)=1,1 / *20 x-2y+4=x/2 + 3/4(y-0,5) / *4 10y + 5x - 4(x+2)=22 4x-8y+16=2x+3(y-0,5) 10y+5x-4x-8=22 4x-8y+16=2x+3y-1,5 x=30-10y 2x-11y=-17,5 x=30-10y 60-20y-11y=-17,5 x=30-10y -31y=-77,5 x=30-10y y=2,5 x=30-25 y=2,5 x=5 y=2,5
d) (x+1)/3 - (y + 2)/4 = 2(x - y)/5 /*60 (x-3)/4 - (y - 3)/3 = 2y - x /*12 20x+20-15y-30=30x-30y 3x-9-4y+12=24y-12x 20x-30x-15y+30y=30-20 3x+12x-4y-24y=-12+9 -10x+15y=10 /*3 15x-28y=-3 /*2 -30x+45y=30 30x-56y=-6 -11y=24 y=-11/24 -10x+15*(-11/24)=10 -10x-6 7/8=10 -10x=10+6 7/8 -10x=135/8 x=-1 11/14 x=-1 11/14 y=-11/24 h) 11/20 y - 0,8 (1/4 x + 2,5) = 2, 1/2 /*10 (6x - 0,3y)/2 - 1, 1/2 = 2(1 + x) /*10 22y-8(1/4x+2,5)=25 30x-1,5y-15=20(1+x) 22y-2x-20=25 30x-1,5y-15=20+20x 22y-2x=45 /*5 -1,5y+10x=35 110y-10x=225 -1,5y+10x=35 108,5y=260 y=2 43/260 22*563/260-2x=45 47 166/260-2x=45 -2x=-2 166/260 x=686/260*(-1/2) x=1 166/260 x=1 166/260 y=2 43/260 i) y/2 + x/4 - 1/5 (x + 2) = 1,1 /*10 x - 2y + 4 = x/2 + 3/4 (y - 0,5) /*4 5y+2,5x-2x-4=11 /*10 4x-8y+16=2x+3y-1,5 /*10 50y+25-20x-40=110 40x-80y+160=20x+30y-15 -20x+50y=125 20x-50y=-175 0=50