Question

а)12-3(7-X)=9-4(X+5) . б)4(2х-5)-8=-7+5(4-9х) в) 3(7-8х)+2(х-1)=-8(3+х)+2(4-х) г)7(6-2У)-10(1У)=-2(У+1)+4(3У-5)

Answer 1

А)
12-3(7-х)=9-4(х+5)
12-21+3х=9-4х-20
3х+4х=21-12+9-20
7х=-2
х=-2:7
х=-2/7
Ответ: -2/7.
б)
4(2х-5)-8=-7+5(4-9х)
8х-20-8=-7+20-45х
8х+45х=20+8+20-7
53х=41
х=41:53
х=41/53
Ответ: 41/53.
в)
3(7-8х)+2(х+1)=-8(3+х)+2(4-х)
21-24х+2х+2=-24-8х+8-2х
23-26х=-16-10х
-26х+10х=-16-23
-16х=-39
х=39:16
х=2 7/16
Ответ: 2 7/16.

Answer 2

а) Let's solve the equation step by step:

12 - 3(7 - x) = 9 - 4(x + 5)

First, distribute the 3 and 4:

12 - 21 + 3x = 9 - 4x - 20

Combine like terms:

-9 + 3x = -11 - 4x

Move the variables to one side and constants to the other:

3x + 4x = -11 + 9

7x = -2

Divide both sides by 7:

x = -2/7

So the solution to the equation is x = -2/7.

б) Let's solve the equation step by step:

4(2x - 5) - 8 = -7 + 5(4 - 9x)

First, distribute the 4 and 5:

8x - 20 - 8 = -7 + 20 - 45x

Combine like terms:

8x - 28 = 13 - 45x

Move the variables to one side and constants to the other:

8x + 45x = 13 + 28

53x = 41

Divide both sides by 53:

x = 41/53

So the solution to the equation is x = 41/53.

в) Let's solve the equation step by step:

3(7 - 8x) + 2(x - 1) = -8(3 + x) + 2(4 - x)

First, distribute the 3 and 2, and the -8 and 2:

21 - 24x + 2x - 2 = -24 - 8x + 8 - 2x

Combine like terms:

-22 - 22x = -16 - 10x

Move the variables to one side and constants to the other:

22x - 10x = -16 + 22

12x = 6

Divide both sides by 12:

x = 1/2

So the solution to the equation is x = 1/2.

г) Let's solve the equation step by step:

7(6 - 2y) - 10(1y) = -2(y + 1) + 4(3y - 5)

First, distribute the 7 and 10, and the -2 and 4:

42 - 14y - 10y = -2y - 2 + 12y - 20

Combine like terms:

42 - 24y = 10y - 22

Move the variables to one side and constants to the other:

24y + 10y = 42 + 22

34y = 64

Divide both sides by 34:

y = 64/34

Simplify the fraction:

y = 32/17

So the solution to the equation is y = 32/17.