Question

19(y-9)=3(y+7),4(x-9)=3(x-8),3(2x-9)=5(x-4),7(3-2x)=15(1-x)

Answer 1

19(у-9)=3(у+7)
19у-171=3у+21
19у-3у=21+171
16у=192
у=12

4(х-9)=3(х-8)
4х-36=3х-24
4х-3х=-24+36
х=12

3(2х-9)=5(х-4)
6х-27=5х-20
6х-5х=-20+27
х=7

7(3-2х)=15(1-х)
21-14х=15-15х
-14х+15х=15-21
х=-6

Answer 2

Let's solve each of these equations step by step:

1. 19(y - 9) = 3(y + 7)

Expanding both sides:

19y - 171 = 3y + 21

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

19y - 3y = 21 + 171

Combine like terms:

16y = 192

Divide both sides by 16:

y = 192/16

Simplifying:

y = 12

2. 4(x - 9) = 3(x - 8)

Expanding both sides:

4x - 36 = 3x - 24

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

4x - 3x = -24 + 36

Combine like terms:

x = 12

3. 3(2x - 9) = 5(x - 4)

Expanding both sides:

6x - 27 = 5x - 20

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

6x - 5x = -20 + 27

Combine like terms:

x = 7

4. 7(3 - 2x) = 15(1 - x)

Expanding both sides:

21 - 14x = 15 - 15x

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

-14x + 15x = 15 - 21

Combine like terms:

x = -6

So the solutions for the given equations are:

1. y = 12
2. x = 12
3. x = 7
4. x = -6