Question

1) 17 + 3x = 62; 2) 46 - 64 : х = 38;3) 93 : (29 - x) = 31; 4) 12 : (х – 61) = 108.​

Answer 1

Ответ:

1) x = 15

2) x = 8

3) x = 26

4) x = 550/9

Answer 2

1)

3х=62-17

х=15

2)

-64:х= -8

х=8

3)

29-х=3

х=27

4)

х-61=9

х=70

Answer 3

Let's solve each equation one by one:

1. 17 + 3x = 62

To solve for x, we'll isolate the variable on one side of the equation.

Subtracting 17 from both sides:

3x = 62 - 17

3x = 45

Now, divide both sides by 3:

x = 45 / 3

x = 15

Therefore, the solution to the equation is x = 15.

2. 46 - 64 : x = 38

In this equation, ":" represents division.

First, let's perform the division operation:

46 - 64 / x = 38

To isolate x, we'll subtract 46 from both sides:

-64 / x = 38 - 46

-64 / x = -8

To eliminate the fraction, we can multiply both sides by x:

-64 = -8x

Divide both sides by -8:

x = -64 / -8

x = 8

So, the solution to the equation is x = 8.

3. 93 / (29 - x) = 31

To solve for x, we'll start by multiplying both sides of the equation by (29 - x) to eliminate the denominator:

93 = 31 * (29 - x)

Expanding the right side:

93 = 31 * 29 - 31 * x

93 = 899 - 31x

Now, subtract 899 from both sides:

93 - 899 = -31x

-806 = -31x

To solve for x, divide both sides by -31:

x = -806 / -31

x ≈ 26.06 (rounded to two decimal places)

Therefore, the solution to the equation is x ≈ 26.06.

4. 12 / (x - 61) = 108

To solve for x, we'll start by multiplying both sides of the equation by (x - 61) to eliminate the denominator:

12 = 108 * (x - 61)

Expanding the right side:

12 = 108x - 108 * 61

12 = 108x - 6588

Now, add 6588 to both sides:

12 + 6588 = 108x

6600 = 108x

To solve for x, divide both sides by 108:

x = 6600 / 108

x ≈ 61.11 (rounded to two decimal places)

Therefore, the solution to the equation is x ≈ 61.11.