Question

1) 7(2x-3)-x=3x-11 2) 2(3x-2)=42+(3-x) 3) (2x-20)(x+6)(x-16)=0

Answer 1

Відповідь:

1. x=1
2. x=7
3. x=[10,-6,16]

Пояснення:

1. 14х-21-х=3х-11
   14х-х-3х=-11+21
   10x=10

        x=10/10

        x=1

     2.6х-4=42+3-х
        6х+х=42+3+4
        7x=49
        x=79/7
        x=7

     3.

• 2x-20=0
• 2x=20
• x=20/2
• x=10

• x+6=0
• x=-6

• x-16=0
• x-16

Answer 2

Объяснение:

1)

7(2х - 3) - х = 3х - 11

14х - 21 - х = 3х - 11

13х - 21 = 3х - 11

13х - 3х = -11 + 21

10х = 10

х = 10 : 10

х = 1

2)

2(3х - 2) = 42 + (3 - х)

6х - 4 = 42 + 3 - х

6х - 4 = 45 - х

6х + х = 45 + 4

7х = 49

х = 49 : 7

х = 7

Answer 3

Let's solve each of the equations step by step:

1. 7(2x-3) - x = 3x - 11

Expand the equation:

14x - 21 - x = 3x - 11

Combine like terms:

13x - 21 = 3x - 11

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

13x - 3x = 21 - 11

10x = 10

Divide both sides by 10 to solve for x:

x = 1

Therefore, the solution to the equation is x = 1.

2. 2(3x-2) = 42 + (3-x)

Expand the equation:

6x - 4 = 42 + 3 - x

Combine like terms:

6x + x = 42 + 3 + 4

7x = 49

Divide both sides by 7 to solve for x:

x = 7

Therefore, the solution to the equation is x = 7.

3. (2x-20)(x+6)(x-16) = 0

To find the solutions, we set each factor equal to zero and solve for x:

2x - 20 = 0

2x = 20

x = 10

x + 6 = 0

x = -6

x - 16 = 0

x = 16

Therefore, the solutions to the equation are x = 10, x = -6, and x = 16.