Ответ:
Пошаговое объяснение:
1) 5(x - 3) = -2(x - 4) + 6
5x - 15 = -2x + 8 + 6
5x - 15 = -2x + 14
5x + 2x = 14+15
7x = 29
x = 29:7
x = 4цел. 1/7
==========
2) 1 + 7(x - 2) = 5(3 - 2x) + 3
1 + 7x - 14 = 15 - 10x + 3
7x - 13 = 18 - 10x
7x + 10x = 18+13
17x = 31
x = 31 : 17
x = 1цел. 14/17
3) 9 - 6(7 - 5x) = 8 + 2(x + 4)
9 - 42 + 30x = 8 + 2x + 8
30x - 33 = 16 + 2x
30x - 2x = 16 + 33
28x = 49
x = 49 : 28
x = 1цел. 21/28
x = 1цел. 3/4
==============
4) (9/10)x = -5
x = -5 : 9/10
x = -5 * 10/9
x = -50/9
x = -5цел. 5/9
5) -(3/7)x = -27/49
x = -27/49 : (-3/7)
x = -27/49 * (-7/3)
x = 9/7
x = 1цел. 2/7
===============
6) 9x - 6(-2 + x) = -7 * 5x + 20
9x + 12 - 6x = -35x + 20
3x + 12 = -35x + 20
3x + 35x = 20 - 12
38x = 8
x = 8 : 38
x = 8/38
x = 4/19
================
7) -3(6x + 2) - 1 = 4(x - 3) - 9
-18x - 6 - 1 = 4x - 12 - 9
-18x - 7 = 4x - 21
4x + 18x = 21 - 7
22x = 14
x = 14/22
x = 7/11
=============
8) -(2/3x) = -5/30
3x * (-5) = (-2) * 30
-15x = -60
x = -60 : (-15)
x = 4
9) -5(-5 + 3x) - 1 = 9x + 5*6
25 - 15x - 1 = 9x + 30
24 - 15x = 9x + 30
9x + 15x = 24 - 30
24x = -6
x = -6/24
x = -1/4
10) 10 * (2/5)x = (7*(-1-1))/(-2*(-15))
4x = 14/30
x = 14/30 : 4
x = 13/30 * 1/4
x = 13/120
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
Пошаговое объяснение:
1) 5(x - 3) = -2(x - 4) + 6
5x - 15 = -2x + 8 + 6
5x - 15 = -2x + 14
5x + 2x = 14+15
7x = 29
x = 29:7
x = 4цел. 1/7
==========
2) 1 + 7(x - 2) = 5(3 - 2x) + 3
1 + 7x - 14 = 15 - 10x + 3
7x - 13 = 18 - 10x
7x + 10x = 18+13
17x = 31
x = 31 : 17
x = 1цел. 14/17
==========
3) 9 - 6(7 - 5x) = 8 + 2(x + 4)
9 - 42 + 30x = 8 + 2x + 8
30x - 33 = 16 + 2x
30x - 2x = 16 + 33
28x = 49
x = 49 : 28
x = 1цел. 21/28
x = 1цел. 3/4
==============
4) (9/10)x = -5
x = -5 : 9/10
x = -5 * 10/9
x = -50/9
x = -5цел. 5/9
==============
5) -(3/7)x = -27/49
x = -27/49 : (-3/7)
x = -27/49 * (-7/3)
x = 9/7
x = 1цел. 2/7
===============
6) 9x - 6(-2 + x) = -7 * 5x + 20
9x + 12 - 6x = -35x + 20
3x + 12 = -35x + 20
3x + 35x = 20 - 12
38x = 8
x = 8 : 38
x = 8/38
x = 4/19
================
7) -3(6x + 2) - 1 = 4(x - 3) - 9
-18x - 6 - 1 = 4x - 12 - 9
-18x - 7 = 4x - 21
4x + 18x = 21 - 7
22x = 14
x = 14/22
x = 7/11
=============
8) -(2/3x) = -5/30
3x * (-5) = (-2) * 30
-15x = -60
x = -60 : (-15)
x = 4
==============
9) -5(-5 + 3x) - 1 = 9x + 5*6
25 - 15x - 1 = 9x + 30
24 - 15x = 9x + 30
9x + 15x = 24 - 30
24x = -6
x = -6/24
x = -1/4
===============
10) 10 * (2/5)x = (7*(-1-1))/(-2*(-15))
4x = 14/30
x = 14/30 : 4
x = 13/30 * 1/4
x = 13/120
==============