Question

5.6(2x + 7)-2(6x - 5) = 3x - 2 6. 11(x-2) - (2x - 3) = 9(x + 2)​

Answer 1

Ответ:

5) 6(2х+7)-2(6х-5)=3х-2;

12х+42-12х+10=3х-3;

3х=55;х=55/3; х=18 1/3

6)11(х-2)-(2х-3)=9(х+2)

11х-22-2х+6=9х+18;

11х-2х-9х=18+16; решения нет

Answer 2

Let's solve these equations step by step:

5.6(2x + 7) - 2(6x - 5) = 3x - 2

Step 1: Distribute the constants on the left side of the equation:

11.2x + 39.2 - 12x + 10 = 3x - 2

Step 2: Combine like terms on both sides of the equation:

(11.2x - 12x) + (39.2 + 10) = 3x - 2

-0.8x + 49.2 = 3x - 2

Step 3: Move the terms containing x to one side of the equation and the constants to the other side:

-0.8x - 3x = -2 - 49.2

-3.8x = -51.2

Step 4: Divide both sides by -3.8 to solve for x:

x = (-51.2) / (-3.8)

x ≈ 13.474

So, the solution to the first equation is approximately x ≈ 13.474.

Now, let's solve the second equation:

11(x - 2) - (2x - 3) = 9(x + 2)

Step 1: Distribute the constants on both sides of the equation:

11x - 22 - 2x + 3 = 9x + 18

Step 2: Combine like terms on both sides of the equation:

(11x - 2x) + (-22 + 3) = 9x + 18

9x - 19 = 9x + 18

Step 3: Move the terms containing x to one side of the equation and the constants to the other side:

9x - 9x = 18 + 19

0 = 37

Notice that both sides of the equation are equal to 0, and there is no variable x in the equation. This means that there is no unique solution for x in this equation.

So, the second equation has no solution.