Question

1)3Х-1=2(х-2) 2)3(х+5)=7-5х3)19(у-9)=3(у+74)4(х-9)=3(х-8)5)3(2х-9)=5(1-х)6)7(3-2х)=15(1-х)

Answer 1

1. 3х-2х=-4+1
Х=-3
2. 3х+5х=7-15
8х=-8
х=-1
3. 19у-3у=21+171
16у=192
у=12
4. 4х-3х=-24+36
х=12
5. 6х+5х= 5+27
11х= 32
32/11
6. -14х+15х=15-21
х=-6

Answer 2

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Answer 3

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

1. 3x - 1 = 2(x - 2)

Expand the brackets:

3x - 1 = 2x - 4

Move all the x terms to one side and the constant terms to the other side:

3x - 2x = -4 + 1

x = -3

Therefore, the solution to this equation is x = -3.

2. 3(x + 5) = 7 - 5x

Expand the brackets:

3x + 15 = 7 - 5x

Move all the x terms to one side and the constant terms to the other side:

3x + 5x = 7 - 15

8x = -8

Divide both sides by 8:

x = -1

So, the solution to this equation is x = -1.

3. 19(y - 9) = 3(y + 74)

Expand the brackets:

19y - 171 = 3y + 222

Move all the y terms to one side and the constant terms to the other side:

19y - 3y = 222 + 171

16y = 393

Divide both sides by 16:

y = 24.5625

The solution to this equation is y = 24.5625.

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

Expand the brackets:

4x - 36 = 3x - 24

Move all the x terms to one side and the constant terms to the other side:

4x - 3x = -24 + 36

x = 12

Thus, the solution to this equation is x = 12.

5. 3(2x - 9) = 5(1 - x)

Expand the brackets:

6x - 27 = 5 - 5x

Move all the x terms to one side and the constant terms to the other side:

6x + 5x = 5 + 27

11x = 32

Divide both sides by 11:

x = 2.9090909 (rounded to seven decimal places)

Therefore, the solution to this equation is x ≈ 2.909.

6. 7(3 - 2x) = 15(1 - x)

Expand the brackets:

21 - 14x = 15 - 15x

Move all the x terms to one side and the constant terms to the other side:

14x - 15x = 15 - 21

-x = -6

Multiply both sides by -1:

x = 6

Hence, the solution to this equation is x = 6.

To summarize the solutions:

1. x = -3
2. x = -1
3. y = 24.5625
4. x = 12
5. x ≈ 2.909
6. x = 6