Question

Решите уравнение 1) 10(x - 9)=72) (x+9)* =(x+6)3) (x+6)} = (x - 7)4) (x - 5)? =(x+15)5) 9-21-4x+7)=76) 1-7(4+2x) = -9 -- 4x7) -3x+1+(x – 5) = 5(3 – x) +58) 3x +5+(x + 5)=(1-x)+ 49) -5x – 2+4(x+1)=4(-3 - x)-1​

Answer 1

Пошаговое объяснение:

Задание 1

10х-90=7

10х=7+90

10х=97

Х=97/10

Х=9,7

Answer 2

1. To solve the equation 10(x - 9) = 72, we can begin by distributing the 10 to the terms inside the parentheses:

10x - 90 = 72

Next, we can isolate the variable x by adding 90 to both sides of the equation:

10x = 72 + 90 10x = 162

Finally, we divide both sides of the equation by 10 to solve for x:

x = 162/10 x = 16.2

Therefore, the solution to the equation is x = 16.2.

2. The equation (x + 9)(x + 6) = (x + 6) can be solved by considering two cases: when x + 6 ≠ 0 and when x + 6 = 0.

Case 1: x + 6 ≠ 0

We can divide both sides of the equation by (x + 6) since it is not equal to zero:

(x + 9) = 1

Next, we isolate the variable x by subtracting 9 from both sides:

x = 1 - 9 x = -8

Case 2: x + 6 = 0

In this case, the equation reduces to 0 = 0, which is true. This means that any value of x that satisfies x + 6 = 0 will be a solution.

Therefore, the solution to the equation is x = -8, and any value of x that makes x + 6 = 0 true.

3. The equation (x + 6) / (x - 7) = 0 does not have a solution because division by zero is undefined. There is no value of x that can make this equation true.

4. To solve the equation (x - 5) / (x + 15) = 0, we can set the numerator equal to zero since any number divided by zero is zero:

x - 5 = 0

Next, we isolate the variable x by adding 5 to both sides:

x = 5

Therefore, the solution to the equation is x = 5.

5. To solve the equation 9 - 21 - 4x + 7 = 76, we can combine like terms:

-12 - 4x = 76

Next, we isolate the variable x by subtracting -12 from both sides:

-4x = 76 + 12 -4x = 88

Finally, we divide both sides of the equation by -4 to solve for x:

x = 88 / -4 x = -22

Therefore, the solution to the equation is x = -22.

6. To solve the equation 1 - 7(4 + 2x) = -9 - 4x, we can simplify the equation by distributing the -7 on the left side and the -4 on the right side:

1 - 28 - 14x = -9 - 4x

Combine like terms:

-27 - 14x = -9 - 4x

Next, isolate the variable x by adding 14x and subtracting -9 from both sides:

-27 - 9 = -4x + 14x

-36 = 10x

Finally, divide both sides of the equation by 10:

x = -36 / 10 x = -3.6

Therefore, the solution to the equation is x = -3.6.

7. The equation -3x + 1 + (x - 5) = 5(3 - x) + 5 can be solved by simplifying both sides:

-3x + 1 + x - 5 = 15 - 5x + 5

Combine like terms:

-2x - 4 = -5x + 20

Next, isolate the variable x by adding 5x and adding 4 to both sides:

3x - 4 = 20

Add 4 to both sides:

3x = 24

Finally, divide both sides of the equation by 3:

x = 24 / 3 x = 8

Therefore, the solution to the equation is x = 8.

8. To solve the equation 3x + 5 + (x + 5) = (1 - x) + 4, we can simplify both sides:

3x + 5 + x + 5 = 1 - x + 4

Combine like terms:

4x + 10 = 5 - x + 4

Combine like terms again:

4x + 10 = 9 - x

Next, isolate the variable x by adding x and subtracting 10 from both sides:

5x + 10 = 9

Subtract 10 from both sides:

5x = -1

Finally, divide both sides of the equation by 5:

x = -1 / 5 x = -0.2

Therefore, the solution to the equation is x = -0.2.

9. To solve the equation -5x - 2 + 4(x + 1) = 4(-3 - x) - 1, we can simplify both sides:

-5x - 2 + 4x + 4 = -12 - 4x - 1

Combine like terms:

-x + 2 = -13 - 4x

Next, isolate the variable x by adding 4x and subtracting 2 from both sides:

3x = -15

Finally, divide both sides of the equation by 3:

x = -15 / 3 x = -5

Therefore, the solution to the equation is x = -5.