29.) 6x-6=3x-2 [[--]] 31.)b-0.24=0.4-3b [[--]] 33.) 3x-2(x-3)=15 [[--]]35.) 2y-3(2y-3)=y +29?

Question

solve and check equation. Use the domain rational number?
please help me out..

Answer 1

29) 6x-6=3x-2
3x = 4
x = 4/3

31) b-0.24=0.4-3b
4b = 0.64
b = 0.16

33) 3x-2(x-3)=15
3x - 2x + 6 = 15
x = 9

35) 2y-3(2y-3)=y +29
2y - 6y + 9 = y + 29
-20 = 5y
y = -4

Answer 2

29. 6x-6=3x-2
Step 1. Move all the x's to one side and the whole numbers to the other.
6x-3x=-2+6 -> 3x = 4
Step 2. Divde both sides by the 3
x=4/3
Step 3. Check the equation
6(4/3) - 6 = 3(4/3) - 2
8 - 6 = 4 - 2
2 = 2 Correct


31. b-0.24 = 0.4-3b
Follow the same steps as above.
b+3b=0.4+0.24 -> 4b=0.64
Therefore b = 0.64/4 = 0.16
Check: 0.16 - 0.24 = 0.4 - 3(0.16)
-0.08 = 0.4 - 0.48
-0.08 = -0.08 Correct


33. 3x -2(x-3) = 15
Expand the brackets first
3x -2x+6 = 15
x = 15-6
x = 9
Check: 3(9) - 2(9-3) = 15
27 -2(6) = 15
27 - 12 = 15
15 = 15 Correct


35. 2y -3(2y-3) = y + 29
Looks difficult, but just follow the same steps as before:
2y - 6y + 9 = y + 29
-4y + 9 = y + 29
-4y -y = 29 - 9
-5y = 20
y = -4
Check: 2(-4) - 3(2(-4) - 3) = -4 +29
-8 -3(-8 - 3) = 25
-8 -3(-11) = 25
-8+33 = 25
25 = 25 Correct

Answer 3

Are those dots decimals or times signs? I'm going to guess.

29.) x=2
31.) b=-5.9