Question

1)4(3t-2)=882)2(3x+1)=113)6(3k+5)=394)9(3x-5)=95)3(t+7)=15

Answer 1

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Answer 2

Все решения во вложении.

Answer 3

Let's solve each equation step by step:

1. 4(3t - 2) = 88

First, distribute the 4 to each term inside the parentheses:

12t - 8 = 88

Next, isolate the variable by moving the constant term to the other side:

12t = 88 + 8

12t = 96

Finally, divide both sides by 12 to solve for t:

t = 96/12

t = 8

Therefore, the solution to the equation is t = 8.

2. 2(3x + 1) = 11

Again, distribute the 2 to each term inside the parentheses:

6x + 2 = 11

Next, isolate the variable by moving the constant term to the other side:

6x = 11 - 2

6x = 9

Divide both sides by 6 to solve for x:

x = 9/6

x = 3/2 or 1.5

Therefore, the solution to the equation is x = 3/2 or x = 1.5.

3. 6(3k + 5) = 39

Distribute the 6 to each term inside the parentheses:

18k + 30 = 39

Next, isolate the variable by moving the constant term to the other side:

18k = 39 - 30

18k = 9

Divide both sides by 18 to solve for k:

k = 9/18

k = 1/2 or 0.5

Therefore, the solution to the equation is k = 1/2 or k = 0.5.

4. 9(3x - 5) = 9

Distribute the 9 to each term inside the parentheses:

27x - 45 = 9

Next, isolate the variable by moving the constant term to the other side:

27x = 9 + 45

27x = 54

Divide both sides by 27 to solve for x:

x = 54/27

x = 2

Therefore, the solution to the equation is x = 2.

5. 3(t + 7) = 15

Distribute the 3 to each term inside the parentheses:

3t + 21 = 15

Next, isolate the variable by moving the constant term to the other side:

3t = 15 - 21

3t = -6

Divide both sides by 3 to solve for t:

t = -6/3

t = -2

Therefore, the solution to the equation is t = -2.

In summary, the solutions for each equation are as follows:

1. t = 8
2. x = 3/2 or x = 1.5
3. k = 1/2 or k = 0.5
4. x = 2
5. t = -2