Question

Решите уравнение: а) -3х=1,2 б) 13х= -2 в) 6х-15= -5 г)13+3х=0 д)5х-7=11+14х е)10-(х+4)=23 ж)0,3(4х-1)+2,3=1,1х

Answer 1

1) х=-0.4
2)х=-6.5
3)х=-20÷6
4)х=-13÷3
5)х=2÷9
6)х=-17
7)х=-20

Answer 2

А) х= 4.2
Б)х=-15
В)х=4

Answer 3

Решение уравнений:

а) -3х = 1,2:

To solve for x, we want to isolate x on one side of the equation. In this case, we can start by dividing both sides of the equation by -3:

-3x / -3 = 1.2 / -3

Simplifying, we get:

x = -0.4

So the solution to the equation -3x = 1.2 is x = -0.4.

б) 13х = -2:

To solve for x, we can divide both sides of the equation by 13:

13x / 13 = -2 / 13

Simplifying, we get:

x = -2/13

So the solution to the equation 13x = -2 is x = -2/13.

в) 6х - 15 = -5:

To solve for x, we can start by adding 15 to both sides of the equation:

6x - 15 + 15 = -5 + 15

Simplifying, we get:

6x = 10

Next, we can divide both sides of the equation by 6:

6x / 6 = 10 / 6

Simplifying, we get:

x = 10/6

Simplifying further, we get:

x = 5/3

So the solution to the equation 6x - 15 = -5 is x = 5/3.

г) 13 + 3х = 0:

To solve for x, we can start by subtracting 13 from both sides of the equation:

13 + 3x - 13 = 0 - 13

Simplifying, we get:

3x = -13

Next, we can divide both sides of the equation by 3:

3x / 3 = -13 / 3

Simplifying, we get:

x = -13/3

So the solution to the equation 13 + 3x = 0 is x = -13/3.

д) 5х - 7 = 11 + 14х:

To solve for x, we can start by combining like terms on both sides of the equation:

5x - 14x = 11 + 7

Simplifying, we get:

-9x = 18

Next, we can divide both sides of the equation by -9:

-9x / -9 = 18 / -9

Simplifying, we get:

x = -2

So the solution to the equation 5x - 7 = 11 + 14x is x = -2.

е) 10 - (х + 4) = 23:

To solve for x, we can start by simplifying the equation inside the parentheses:

10 - x - 4 = 23

Simplifying, we get:

6 - x = 23

Next, we can subtract 6 from both sides of the equation:

6 - x - 6 = 23 - 6

Simplifying, we get:

-x = 17

Finally, we can multiply both sides of the equation by -1 to isolate x:

(-1) * (-x) = (-1) * 17

Simplifying, we get:

x = -17

So the solution to the equation 10 - (x + 4) = 23 is x = -17.

ж) 0.3(4x - 1) + 2.3 = 1.1x:

To solve for x, we can start by distributing the 0.3 to the terms inside the parentheses:

0.3 * 4x - 0.3 * 1 + 2.3 = 1.1x

Simplifying, we get:

1.2x - 0.3 + 2.3 = 1.1x

Next, we can combine like terms on both sides of the equation:

1.2x + 2 - 0.3 = 1.1x

Simplifying, we get:

1.2x + 1.7 = 1.1x

Subtracting 1.1x from both sides of the equation, we get:

1.2x - 1.1x + 1.7 = 1.1x - 1.1x

Simplifying, we get:

0.1x + 1.7 = 0

Next, we can subtract 1.7 from both sides of the equation:

0.1x + 1.7 - 1.7 = 0 - 1.7

Simplifying, we get:

0.1x = -1.7

Finally, we can divide both sides of the equation by 0.1 to isolate x:

(0.1x) / 0.1 = (-1.7) / 0.1

Simplifying, we get:

x = -17

So the solution to the equation 0.3(4x - 1) + 2.3 = 1.1x is x = -17.