Question

1)4*(х+5)=536 2)12*х=24 3)729:(х+9)=27 4)561-2х=289

Answer 1

1)4*(х+5)=536    2)12*х=24   3)729:(х+9)=27     4)561-2х=289

    х+5=536:4         х=24:12      х+9=729:27           2х=561-289

    х+5=134            х=2          х+9=27                  2х=272

    х=134-5                                х=27-9                    х=272:2

    х=129                           х=18                  х=136

Answer 2

Let's solve each of the equations step by step:

1. 4*(x+5) = 536

First, we distribute the 4 to the terms inside the parentheses: 4x + 45 = 536

Simplify: 4x + 20 = 536

Next, subtract 20 from both sides of the equation: 4x + 20 - 20 = 536 - 20

Simplify further: 4x = 516

Now, divide both sides of the equation by 4: 4x/4 = 516/4

Simplify: x = 129

Therefore, the solution to the equation 4*(x+5) = 536 is x = 129.

2. 12*x = 24

Divide both sides of the equation by 12: 12x/12 = 24/12

Simplify: x = 2

Therefore, the solution to the equation 12*x = 24 is x = 2.

3. 729/(x+9) = 27

Multiply both sides of the equation by (x+9) to eliminate the denominator: 729 = 27*(x+9)

Simplify the right side: 729 = 27x + 27*9

Simplify further: 729 = 27x + 243

Now, subtract 243 from both sides of the equation: 729 - 243 = 27x + 243 - 243

Simplify: 486 = 27x

Divide both sides of the equation by 27: 486/27 = 27x/27

Simplify: 18 = x

Therefore, the solution to the equation 729/(x+9) = 27 is x = 18.

4. 561 - 2x = 289

Subtract 561 from both sides of the equation: 561 - 561 - 2x = 289 - 561

Simplify: -2x = -272

Divide both sides of the equation by -2 (or multiply by -1/2): -2x / -2 = -272 / -2

Simplify: x = 136

Therefore, the solution to the equation 561 - 2x = 289 is x = 136.

To summarize:

1. x = 129
2. x = 2
3. x = 18
4. x = 136