Question

А) 4,4x - 1,5a - 2,2 = 3,3x - 1,5a B) 1,2a - (0,7x + 1,3a) = 3,2x - 0,1a C) (7,1x - 6,3) - (6,7x - 7,9) = 0 D) - (7,7x + 2,2) - (5,5x - 9,9x) = 1,1 E) (1,3x - 2,5x) - (3,8x - 2,3) = 3,7

Answer 1

A) 4.4x-1.5a-2.2=3.3x-1.5a
4.4x-3.3x-1.5a+1.5a=2.2
1.1x=2.2
x=2
B) 1.2a-(0.7x+1.3a)=3.2x-0.1a
1.2a-0.7x-1.3a-3.2x+0.1a=0
-3.9x=0   ты тут цифру не упустил?
C)(7.1x-6.3)-(6.7x-7.9)=0
7.1x-6.3-6.7x+7.9=0
0.4x= -1.6
x= -4
D) -(7.7x+2.2)-(5.5x-9.9x)=1.1
-7.7x-2.2-5.5x+9.9x=1.1
-3.3x=3.3
x= -1
E) (1.3x-2.5x)-(3.8x-2.3)=3.7
-1.2x-3.8x+2.3=3.7
- 5x=1.5
x= - 0.3

Answer 2

A) 4.4x - 1.5a - 2.2 = 3.3x - 1.5a

To solve this equation, we need to isolate the variables on one side and the constants on the other side. Let's start by grouping the x terms and the a terms:

4.4x - 3.3x = 1.5a - (-1.5a) + 2.2

Simplifying the equation, we have:

1.1x = 3a + 2.2

B) 1.2a - (0.7x + 1.3a) = 3.2x - 0.1a

Similarly, let's group the x terms and the a terms:

1.2a + 0.1a = 3.2x - (-(0.7x + 1.3a))

Simplifying further, we get:

1.3a = 3.2x + 0.7x + 1.3a

C) (7.1x - 6.3) - (6.7x - 7.9) = 0

Expanding the equation, we have:

7.1x - 6.3 - 6.7x + 7.9 = 0

Combining like terms, we get:

0.4x + 1.6 = 0

D) -(7.7x + 2.2) - (5.5x - 9.9x) = 1.1

Distributing the negative sign, we have:

-7.7x - 2.2 - 5.5x + 9.9x = 1.1

Combining like terms, we get:

-3.3x + 7.7x = 1.1 + 2.2

E) (1.3x - 2.5x) - (3.8x - 2.3) = 3.7

Simplifying the equation, we have:

-1.2x - 1.5 = 3.7

Now, to solve these equations, we need to isolate the variables. Let's solve each equation step by step.

For equation A), the equation is:

1.1x = 3a + 2.2

To isolate x, we can divide both sides of the equation by 1.1:

x = (3a + 2.2) / 1.1

For equation B), the equation is:

1.3a = 3.9x + 0.7x

To isolate a, we can divide both sides of the equation by 1.3:

a = (3.9x + 0.7x) / 1.3

For equation C), the equation is:

0.4x + 1.6 = 0

To isolate x, we can subtract 1.6 from both sides of the equation:

0.4x = -1.6

Then, divide both sides of the equation by 0.4:

x = -1.6 / 0.4

For equation D), the equation is:

5.6x = 3.3

To isolate x, we can divide both sides of the equation by 5.6:

x = 3.3 / 5.6

For equation E), the equation is:

-1.2x - 1.5 = 3.7

To isolate x, we can add 1.5 to both sides of the equation:

-1.2x = 3.7 + 1.5

Then, divide both sides of the equation by -1.2:

x = (3.7 + 1.5) / -1.2

These are the solutions for each equation. Plug in the values of a and x to verify if they satisfy the original equations.