Question

1) 5-2x = 11-7(x+2) 2) 10x+9=7x3) 10(x-9)=74) 1-5x= -6x+85) 9-2(-4x + 7) = 7

Answer 1

Ответ:

1) х=-1,6

2)х=-3

3)х=-30

4)х=7

5)х=1,5

Объяснение:

1)

5-2х=11-7(х+2)

-2х=11-5-7х-14

7х-2х=11-5-14

5х=-8

х=-8/5

х=-1,6

2)

10х+9=7х

10х-7х=-9

3х=-9

х=-3

3)

10(х+9)=7х

10х+90-7х=0

3х=-90

х=-90/3

х=-30

4)

1-5х=-6х+8

-5х+6х=8-1

х=7

5)

9-2(-4х+7)=7

9+8х-14=7

8х=7-9+14

8х=12

х=12/8

х=1,5

Answer 2

Let's solve the given equations one by one:

1. 5 - 2x = 11 - 7(x + 2)

Let's simplify the equation step by step:

5 - 2x = 11 - 7x - 14

Combine like terms:

5 - 2x = -3 - 7x

Move the x terms to one side and the constant terms to the other side:

2x - 7x = -3 - 5

-5x = -8

Divide both sides by -5:

x = -8 / -5

x = 8/5 or 1.6

Therefore, the solution to the equation is x = 8/5 or 1.6.

2. 10x + 9 = 7x

Let's solve for x:

Subtract 7x from both sides:

10x - 7x + 9 = 0

Combine like terms:

3x + 9 = 0

Subtract 9 from both sides:

3x = -9

Divide both sides by 3:

x = -9/3

x = -3

Therefore, the solution to the equation is x = -3.

3. 10(x - 9) = 74

Let's simplify the equation:

10x - 90 = 74

Add 90 to both sides:

10x = 74 + 90

10x = 164

Divide both sides by 10:

x = 164/10

x = 16.4

Therefore, the solution to the equation is x = 16.4.

4. 1 - 5x = -6x + 8

Let's solve for x:

Add 6x to both sides:

1 - 5x + 6x = 8

Combine like terms:

1x = 8

x = 8

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

5. 9 - 2(-4x + 7) = 7

Let's simplify the equation:

9 + 8x - 14 = 7

Combine like terms:

8x - 5 = 7

Add 5 to both sides:

8x = 7 + 5

8x = 12

Divide both sides by 8:

x = 12/8

x = 1.5

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

To recap, the solutions for the given equations are:

1. x = 8/5 or 1.6
2. x = -3
3. x = 16.4
4. x = 8
5. x = 1.5