Question

(5*x-33):6=7 64:(x+2)+5=13 81-(x*6+14)=19 6*(4+27:x)=42 37+(21-36:x)=52 240:(x+3)-5=7

Answer 1

Решение:

1) (5x - 33) : 6 = 7         2) 64 : (х + 2) + 5 = 13         3) 81 - (6х + 14) = 19

(5x - 33) = 42                   64 : (х + 2) = 13 - 5              6х + 14 = 81 - 19

5х = 42 + 33                    64 : (х + 2) = 8                     6х = 62 - 14

5х = 75                             х + 2 = 8                              6х = 48

х = 15                                х = 6                                    х = 8

4) 6(4 + 27 : х) = 42       5) 37 + (21 - 36 : x) = 52    6) 240 : (x + 3) - 5 = 7

4 + 27 : х = 7                      21 - 36 : х = 52 - 37           240 : х + 3 = 7 + 5

27 : х = 3                            21 - 36 : х = 15                   240 : х + 3 = 12

х = 27 : 3                            36 : х = 21 - 15                   х + 3 = 240 : 12

х = 9                                   36 : х = 6                           х + 3 = 20

                                           х = 36 : 6                          х = 20 - 3

                                           х = 6                                  х = 17

Answer 2

To solve each of these equations, we'll go through them one by one:

1. (5*x - 33) / 6 = 7

Let's first simplify the equation by multiplying both sides by 6 to eliminate the fraction:

5x - 33 = 7 * 6 5x - 33 = 42

Next, add 33 to both sides:

5x = 42 + 33 5x = 75

Finally, divide both sides by 5 to solve for x:

x = 75 / 5 x = 15

So, the solution is x = 15.

2. 64 / (x + 2) + 5 = 13

First, let's isolate the fraction:

64 / (x + 2) = 13 - 5 64 / (x + 2) = 8

Next, multiply both sides by (x + 2) to remove the fraction:

64 = 8 * (x + 2)

Now, divide both sides by 8:

x + 2 = 64 / 8 x + 2 = 8

Finally, subtract 2 from both sides:

x = 8 - 2 x = 6

So, the solution is x = 6.

3. 81 - (x * 6 + 14) = 19

Let's simplify the equation step by step:

81 - (x * 6 + 14) = 19

First, distribute the negative sign inside the parentheses:

81 - 6x - 14 = 19

Combine the constants:

67 - 6x = 19

Next, isolate the term with x:

-6x = 19 - 67 -6x = -48

Now, divide by -6 to find the value of x:

x = -48 / -6 x = 8

So, the solution is x = 8.

4. 6 * (4 + 27 / x) = 42

Let's simplify the equation step by step:

6 * (4 + 27 / x) = 42

First, isolate the term inside the parentheses:

4 + 27 / x = 42 / 6 4 + 27 / x = 7

Next, subtract 4 from both sides:

27 / x = 7 - 4 27 / x = 3

Now, multiply both sides by x to remove the fraction:

27 = 3 * x

Finally, divide both sides by 3 to solve for x:

x = 27 / 3 x = 9

So, the solution is x = 9.

5. 37 + (21 - 36 / x) = 52

Let's simplify the equation step by step:

37 + (21 - 36 / x) = 52

First, isolate the term inside the parentheses:

21 - 36 / x = 52 - 37 21 - 36 / x = 15

Next, add 36/x to both sides:

21 = 15 + 36 / x

Now, subtract 15 from both sides:

6 = 36 / x

To solve for x, multiply both sides by x:

6x = 36

Finally, divide both sides by 6:

x = 36 / 6 x = 6

So, the solution is x = 6.

6. 240 / (x + 3) - 5 = 7

Let's simplify the equation step by step:

240 / (x + 3) - 5 = 7

First, add 5 to both sides:

240 / (x + 3) = 7 + 5 240 / (x + 3) = 12

Now, multiply both sides by (x + 3) to remove the fraction:

240 = 12 * (x + 3)

Next, divide both sides by 12:

x + 3 = 240 / 12 x + 3 = 20

Finally, subtract 3 from both sides:

x = 20 - 3 x = 17

So, the solution is x = 17.

In conclusion, the solutions for the given equations are as follows:

1. x = 15
2. x = 6
3. x = 8
4. x = 9
5. x = 6
6. x = 17