Найдите корни уравнений 1)3(2х-4)+15=16-5(2-х) 2)4,5(6-z)-0,5z=1+0,5(z+3)
3)23/40(8t+5)-t=2,6t-(3t-3/4)
4)10 целых 2/3 (9-k)+81=107-1/3(k-60)​

1.

3(2х-4)+15=16-5(2-х)

6х-12+15=16-10+5х

6х-5х=16-10+12-15

х=3

2.

4,5(6-z)-0,5z=1+0,5(z+3)

27-4,5z-0,5z=1+0,5z+1,5

-4,5z-0,5z-0,5z=1+1,5-27

-5,5z=-24,5

z=24,5:5,5=245:55=49/11

z=4 5/11

3.

23/40(8t+5)-t=2,6t-(3t-3/4)

184/40t+115/40-t=2,6t-3t+3/4

184/40t-t-2,6t+3t=3/4-115/40

184/40t-40/40t+120/40t-104/40t=30/40-115/40

160/40t=-85/40

4t=-2,125

t=-0,53125

4.

10 2/3(9-k)+81=107-1/3(k-60)

32/3(9-k)+81=107-1/3k+20

96-32/3k+81=127-1/3k

1/3k-32/3k=127-96-81

-31/3k=-50

k=50*3/31=150/31

k=4 26/31