Dú matematika 8/20 h, i, j, k rovnice
h)
2/3 (x-2) = x-(x-4)
2/3x-1 1/3 = x-x-4
2/3x-1 1/3 = -4 /+ 1 1/3
2/3x = -2 2/3 /2/3
x = -4
L:2/3 (-4-2) = -4
P:-4-(-4-4) = -4
i)
5(m+2/3)-4(3m-1/2)=3
6-8m = 3 / -3
-8m = -3
m = 1/3
L:5(1/3+2/3)-4(3*1/3-1/2) = 3
P: = 3
j)
(3z+7)4-(20-7z)-15 = 5(z+3)+6(2z+3)-30
19z-7 = 17z+3 / -17z
2z-7 = 3 / 3
2z = 10
z = 5
L:(3*5+7)4-(20-7*5)-15 = 40+78-30 = 88
P:5(5+3)+6(2*5+3)-30 = 88+15-15 = 88
k)
5/3x-x/3-3 = x/2+1/3
10x-2x-18 = 3x+2
8x+18 =x 3x+2 / -3x
5x-18 = 2 / 18
5x = 20
x = 4
L:5/3*4-4/3-3 = 16/3-3 = 7/3
P:4/2+1/3 = 14/6 = 7/3