Question

9х + 13= 7х + 5 2))) 3(2х + 5) + 6 = 3 3. 5х + 18 = 7х + 6(3х – 7) 4. 3х – 7(3х – 4) = 5(2х – 7) 5. 13 – 3(5х + 1) – 6(4х – 3) = 5х Пжж

Answer 1

1. 9х + 13= 7х + 5;

9х-7х= 5-13;

2х= - 8;

х= - 4.

ОТВЕТ: -4.

2. 3(2х + 5) + 6 = 3;

6х+15+6= 3;

6х= 3-15-6;

6х= -18;

х= - 3.

ОТВЕТ: - 3.

3. 5х + 18 = 7х + 6(3х – 7);

5х+18= 7х+18х-42;

18х+7х-5х= 18+42;

20х= 60;

х= 3.

ОТВЕТ: 3.

4. 3х – 7(3х – 4) = 5(2х – 7);

3х-21х+28= 10х-35;

10х+21х-3х= 28+35;

28х= 63;

х= 2,25.

ОТВЕТ: 2,25.

5. 13 – 3(5х + 1) – 6(4х – 3) = 5х;

13-15х-3-24х+18=5х;

5х+15х+24х= 13-3+18;

44х= 28;

х= 28÷44;

х= 7/11.

ОТВЕТ: 7/11.

Answer 2

Sure, I'd be happy to help you solve these equations step-by-step. Let's go through each of them one by one:

1. 9x + 13 = 7x + 5

To solve this equation, we need to isolate the variable x on one side of the equation. We can do that by performing algebraic operations:

Subtract 7x from both sides: (9x + 13) - 7x = (7x + 5) - 7x 2x + 13 = 5

Subtract 13 from both sides: 2x + 13 - 13 = 5 - 13 2x = -8

Divide by 2: x = -8 / 2 x = -4

So the solution for this equation is x = -4.

2. 3(2x + 5) + 6 = 3

First, distribute the 3 on the left side of the equation:

3 * 2x + 3 * 5 + 6 = 3 6x + 15 + 6 = 3

Combine like terms:

6x + 21 = 3

Next, subtract 21 from both sides:

6x + 21 - 21 = 3 - 21 6x = -18

Finally, divide by 6:

x = -18 / 6 x = -3

The solution for this equation is x = -3.

3. 5x + 18 = 7x + 6(3x - 7)

First, distribute 6 on the right side of the equation:

5x + 18 = 7x + 6 * 3x - 6 * 7 5x + 18 = 7x + 18x - 42

Now, move all the x terms to one side of the equation and the constants to the other side:

5x - 7x - 18x = -42 - 18 -20x = -60

Divide by -20:

x = -60 / -20 x = 3

So the solution for this equation is x = 3.

4. 3x - 7(3x - 4) = 5(2x - 7)

First, distribute on both sides:

3x - 21x + 28 = 10x - 35

Combine like terms:

-18x + 28 = 10x - 35

Now, move all the x terms to one side of the equation and the constants to the other side:

-18x - 10x = -35 - 28 -28x = -63

Divide by -28:

x = -63 / -28

Now, we can simplify the fraction:

x ≈ 2.25

So the solution for this equation is approximately x = 2.25.

5. 13 - 3(5x + 1) - 6(4x - 3) = 5x

First, distribute on both sides:

13 - 15x - 3 - 24x + 18 = 5x

Combine like terms:

-39x + 28 = 5x

Now, move all the x terms to one side of the equation and the constants to the other side:

-39x - 5x = -28

-44x = -28

Divide by -44:

x = -28 / -44

Now, we can simplify the fraction:

x ≈ 0.6364

So the solution for this equation is approximately x = 0.6364.

I hope these step-by-step solutions are helpful! If you have any further questions or need clarification, feel free to ask.