Question

1) 18-7(2-х) =4х+6 2) 4(5-2х)=14-2(4х-3) 3) х-х/6=1/3 +0,5х

Answer 1

Ответ:

1) а) 16 б) -0,5 в) -2 г) 6 д) 0 е) Решений нет ж) 0 з) -5

2) а) -4 б) -1 в) -2 г) -6 д) 0 е) Решений нет ж) 0 з) 6,4

Объяснение:

1) а) 2х-5=27

     2х=32

      х=16

б) -3+4у=-5

4у=-2

у=-0,5

в) 2х-1=4х+3

2х=-4

х=-2

г) 1/3у+2=-1/6у+5

1/3у+1/6у=3

3/6у=3

0,5у=3

у=6

д) 2х-(5х-6)=7+(х-1)

-3х+6=6+х

-4х=0

х=0

е) 3х-1=2х-(4-х)

3х-1=3х-4

3х-3х=-3

0х=-3?

Решений нет

ж) 2(х-3)=-3(х+2)

2х-6=-3х-6

5х=0

х=0

з) 2(х-5)-7(х+2)=1

2х-10-7х-14=1

-5х=25

х=-5

2) а) 4-3х=16

-3х=12

х=-4

б) 5у-7=-12

5у=-5

у=-1

в) 7х-1=2х-11

5х=-10

х=-2

г) 1/2у-3=-1/6у-7

4/6у=-4

у=-4/(4/6)

у=-6

д) 5х-(2х-9)=6+(х+3)

3х+9=9+х

2х=0

х=0

е) 7х-8=4х-(1-3х)

7х-8=7х-1

7х-7х=7

0х=7

Решений нет

ж) 3(х+4)=-4(х-3)

3х+12=-4х+12

7х=0

х=0

з) 3(х+2)-8(х-4)=-2

3х+6-8х+24=-2

-5х=-32

х=6,4

Пошаговое объяснение:

Answer 2

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

1. 18 - 7(2 - x) = 4x + 6

First, distribute the -7 on the left side:

18 - 14 + 7x = 4x + 6

Now, combine like terms:

4 + 7x = 4x + 6

Subtract 4x from both sides to isolate the x terms:

4 + 7x - 4x = 6

3x = 6

Now, divide both sides by 3 to solve for x:

3x/3 = 6/3

x = 2

So, the solution to the first equation is x = 2.

2. 4(5 - 2x) = 14 - 2(4x - 3)

First, distribute on both sides:

20 - 8x = 14 - 8x + 6

Now, combine like terms:

-8x + 8x on the left side cancels out:

20 = 14 + 6

Now, combine the numbers on the right side:

20 = 20

The equation simplifies to 20 = 20, which is always true.

This means that the equation is an identity, and it is true for any value of x. In other words, there is no specific solution for x.

3. x - x/6 = 1/3 + 0.5x

First, combine like terms on the right side:

x - x/6 = 1/3 + 0.5x

Now, to get rid of the fractions, you can multiply both sides of the equation by 6 (the common denominator):

6(x) - x = 2 + 3x

Now, let's isolate the x terms on one side by adding x to both sides:

6x - x = 2 + 3x

Combine like terms on both sides:

5x = 2 + 3x

Subtract 3x from both sides to isolate the x terms:

5x - 3x = 2

2x = 2

Now, divide both sides by 2 to solve for x:

2x/2 = 2/2

x = 1

So, the solution to the third equation is x = 1.