Question

15х-1=29 9у+73=109 67-z/28=52 8*(а+1)-7а=9 (18у-12)/6+5у=14 5*(8е-1)-28е=19

Answer 1

15x-1=29

15x=29+1

15x=30

x=30:15

x=2

15*15-1=29

29=29

Ответ:x=2

Answer 2

To solve these equations, let's go through each one step by step:

1. 15x - 1 = 29

Let's isolate the variable x by adding 1 to both sides:

15x = 30

Divide both sides by 15:

x = 2

So the solution for this equation is x = 2.

2. 9y + 73 = 109

Subtract 73 from both sides:

9y = 36

Divide both sides by 9:

y = 4

Therefore, the solution for this equation is y = 4.

3. 67 - z/28 = 52

Multiply both sides by 28 to eliminate the fraction:

28(67 - z/28) = 28(52)

Simplify:

1876 - z = 1456

Subtract 1876 from both sides:

-z = 1456 - 1876

Simplify:

-z = -420

Multiply both sides by -1 to solve for z:

z = 420

Thus, the solution for this equation is z = 420.

4. 8(a + 1) - 7a = 9

Distribute 8 to both terms inside the parentheses:

8a + 8 - 7a = 9

Combine like terms:

a + 8 = 9

Subtract 8 from both sides:

a = 9 - 8

Simplify:

a = 1

Therefore, the solution for this equation is a = 1.

5. (18y - 12)/6 + 5y = 14

Simplify the expression inside the parentheses:

(3y - 2) + 5y = 14

Combine like terms:

8y - 2 = 14

Add 2 to both sides:

8y = 16

Divide both sides by 8:

y = 2

Hence, the solution for this equation is y = 2.

6. 5(8e - 1) - 28e = 19

Distribute 5 to both terms inside the parentheses:

40e - 5 - 28e = 19

Combine like terms:

12e - 5 = 19

Add 5 to both sides:

12e = 24

Divide both sides by 12:

e = 2

Therefore, the solution for this equation is e = 2.

To summarize:

1. x = 2
2. y = 4
3. z = 420
4. a = 1
5. y = 2
6. e = 2