1. y-5/3=1

-2
8***
18
6

2. 6x+29=5

-4***
-18
204
-144

3. -21a+16a

-5a***
5a
37a
-37a

4. 9a-b-2a-10b

-7a+11b
11a+9b
-11a-9b
7a-11b***

5. 5(x+10)+x

6x+15
5x+15
6x+50***
4x-50

6. -4n+7+2n=1

1
3***
-3
4

7. 4(y-4)=8

-2
2
4
6***

8. Raymond buys bottles of water at $2.10 each and a large pizza at $12.99. The total cost was $21.39. How many bottles of water b did he buy?

2.10b+12.99= 21.39; 4 bottles***
2.10+12.99= 21.39' 4 bottles
2.10c= 21.39+12.99; 6 bottles
21.39-2.10b= 12.99; 16 bottles

thank you so much for the answers they are all correct :) :):):):):):)

all are correct. But online use parentheses to make things clear. You should have written for #1

(y-5)/3 because as written it means y - 5/3

oh ok thank you.

1. To solve the equation y - 5/3 = 1, we want to isolate the variable y on one side of the equation.

First, let's get rid of the fraction by multiplying every term by the denominator, which is 3 in this case:
3(y - 5/3) = 3(1)

This simplifies to:
3y - 5 = 3

Next, let's isolate the variable y by adding 5 to both sides of the equation:
3y - 5 + 5 = 3 + 5
3y = 8

Finally, divide both sides of the equation by 3 to solve for y:
3y/3 = 8/3
y = 8/3

So the answer is y = 8/3, which is equivalent to 2.67 (rounded to two decimal places).