Question

СРОЧНО ДАЮ 50 БАЛОВ a) 4(3x - 7)-2(x-15)=5-3(2x +9);б) x-3(x-2)=18+2(5x-8) - 6(2x + 1);B)-2,4(-2x +0,3)=1,8(5x -0,4)-4,2x;​

Answer 1

Ответ:

Пошаговое объяснение:

a) 4(3x - 7)-2(x-15)=5-3(2x +9)

12х-28-2х+30=5-6х-27

12х-2х+6х=5-27-30+28

16х=-24

Х=-24:16

Х=-1 1/2

б) x-3(x-2)=18+2(5x-8) - 6(2x + 1)

Х-3х+6=18+10х-16-12х-6

Х-3х-10х+12х=18-16-6-6

0х=-10

Х=решений нет

B)-2,4(-2x +0,3)=1,8(5x -0,4)-4,2x

4,8х-0,72=9х-0,72-4,2х

4,8х-9х+4,2х=0,72-0,72

0х=0

Х=любое число

Answer 2

a) Let's solve the equation step by step:

4(3x - 7) - 2(x - 15) = 5 - 3(2x + 9)

First, let's simplify the equation by distributing the terms inside the parentheses:

12x - 28 - 2x + 30 = 5 - 6x - 27

Combine like terms:

10x + 2 = -6x - 22

Move the variables to one side and the constants to the other side:

10x + 6x = -22 - 2

Combine like terms:

16x = -24

Divide both sides by 16 to solve for x:

x = -24/16 x = -3/2 x = -1.5

Therefore, the solution to the equation is x = -1.5.

b) Let's solve the equation step by step:

x - 3(x - 2) = 18 + 2(5x - 8) - 6(2x + 1)

First, let's simplify the equation by distributing the terms inside the parentheses:

x - 3x + 6 = 18 + 10x - 16 - 12x - 6

Combine like terms:

-2x + 6 = -2x - 4

Move the variables to one side and the constants to the other side:

-2x + 2x = -4 - 6

Combine like terms:

0 = -10

The equation simplifies to 0 = -10, which is not a true statement.

Therefore, there is no solution to the equation.

c) Let's solve the equation step by step:

-2.4(-2x + 0.3) = 1.8(5x - 0.4) - 4.2x

First, let's simplify the equation by distributing the terms inside the parentheses:

4.8x - 0.72 = 9x - 0.72 - 4.2x

Combine like terms:

4.8x - 0.72 = 4.8x - 0.72

The equation simplifies to 4.8x - 0.72 = 4.8x - 0.72, which means the equation is true for all values of x.

Therefore, the equation has infinitely many solutions.