Помогите решитьУравнение 4 х+23/5,4 = 8,5/20, 5/6 = 3 х+1,5/9; 5/12 = 3/1,3 х+2; 1,4/2...

Question

Помогите решитьУравнение 4 х+23/5,4 = 8,5/20, 5/6 = 3 х+1,5/9; 5/12 = 3/1,3 х+2; 1,4/2 х+1 = 4,6/23; 15/27 = 9/8 х+4,2; 5 х-0,8/16 = 3,4/17.

Answer 1

4 х+23/5,4 = 8,5/20
4 х+23/5,4 = 0.425 умножим на 5,4
21,6х+23=2,29521,6х=2,295-23
21,6х=-20,705
х=-20,705/21,6=-20705/21600=-4141/4320

5/6 = 3 х+1,5/9 умножим на 1815=54х+3
54х=15-3
54х=12
х=12/54=2/9

5/12 = 3/1,3 х+2
3/1,3х=5/12-2
30/13х=5/12-24/12
30/13х=-19/12
30х*12=-19*13
360х=-247
х=-247/360


1,4/2 х+1 = 4,6/231,4/2х=4,6/23-1
14/20х=46/230-1
7/10х=2/10-1
0,7х=0,2-1
0,7х=-0,8
х=-0,8/0,7=-8/7=-1 1/7


15/27 = 9/8 х+4,2 умножим 216
15*8=9*27х+4,2*216
120=243х+907,2
243х=120-907,2
243х=-787,2
х=-787,2/243=-7872/2430=-3936/1515=-1312/405=-3  97/405

5 х-0,8/16 = 3,4/17
5х-8/160=34/170
5х-1/20=2/10
5х-0,05=0,2
5х=0,2+0,05
5х=0,25
х=0,25/5=25/500=1/20=0,05

Answer 2

1)20*(4х+23)=5,4*8,5
4х+3=45,9:20=2,295
4х=2,295-3=-0,705
х=-0,705:4
х=-0,17625
2)6*(3х+1,5)=5*19
3х+1,5=95/6=15 5/6
3х=16 5/6-1 1/2=16 5/6-1 3/6=15 2/6 =15 1/3
х=15 1/3 : 3=46/3*1/3=46/9
х=5 1/9
3)5*(1,3х+2)=12*3
1,3х+2=36/5=7,2
1,3х=7,2-2=5,2
х=5,2:1,3
х=4
4)4,6*(2х+1)=1,4*23
2х+1=1,4*23/4,6=7
2х=7-1=6
х=3
5)15*(8х+4,2)=27*9
8х+4,2=27*9/15=81/5=16,2
8х=16,2-4,2=12
х=12/8
х=1,5
6)17*(5х-0,8)=16*3,4
5х-0,8=16*3,4/17=3,2
5х=3,2+0,8=4
х=4/5=0,8