Question

1) 2(3x-1)=4(x+3)+2x 2) 17-2(x+3)+5(x-7)-3(2x+1)=-2 3) 8x+3/7=10x-1/7 4) x/7-3-4x/4-3-5x/8=0 5) 2x-3/2-3-4x/4-3-5x/8=0 /-дробь

Answer 1

Ответ:

1)6x-2=4x+12+2x

6x-6x=-2+12

x=10

2)17-2x-6+5x-35-6x-3=-2

-27-3x=-2

-3x=-2+27

-3x=25

x=25/3

3)8x-10x=-1/7-3/7

-2x=4/7

x=2/7

4)x/7-3-4x/4-3-5x/8=0

x/7-6-4x/4-5x/8=0 | умножим на 58

8x-336-56x-35x=0

-83x=336

x=-336/83

5)2x-3/2-3-4x/4-3-5x/8=0

2x-3/2-6-4x/4-5x/8=0

2x-15/2-4x/4-5x/8=0 | умножим на 8

16х-60-8х-5х=0

3х=60

х=20

Объяснение:

Answer 2

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

1. 2(3x-1) = 4(x+3) + 2x

Expand the expressions:

6x - 2 = 4x + 12 + 2x

Combine like terms:

6x - 2 = 6x + 12

Now, isolate x on one side:

6x - 6x = 12 + 2

0 = 14

This equation has no solution. The variable x cancels out, and we end up with a contradiction (0 = 14).

2. 17 - 2(x+3) + 5(x-7) - 3(2x+1) = -2

Expand the expressions:

17 - 2x - 6 + 5x - 35 - 6x - 3 = -2

Combine like terms:

17 - 6 - 35 - 3 - 2x + 5x - 6x = -2

-27 - 3x = -2

Now, isolate x on one side:

-3x = -2 + 27

-3x = 25

Divide by -3 to solve for x:

x = 25 / -3

x ≈ -8.33

3. 8x + 3/7 = 10x - 1/7

To remove the fractions, let's multiply the entire equation by 7 (the common denominator):

7 * (8x + 3/7) = 7 * (10x - 1/7)

Simplify:

8x * 7 + 3 = 10x * 7 - 1

56x + 3 = 70x - 1

Now, isolate x on one side:

56x - 70x = -1 - 3

-14x = -4

Divide by -14 to solve for x:

x = (-4) / (-14)

x ≈ 0.29

4. x/7 - 3 - 4x/4 - 3 - 5x/8 = 0

Let's simplify the fractions:

x/7 - 3 - x - 5x/8 = 0

Now, get a common denominator, which is 8:

8 * (x/7) - 8 * 3 - 8 * (x) - 5x = 0

8x/7 - 24 - 8x - 5x = 0

Combine like terms:

(8x - 8x)/7 - 5x = 24

0 - 5x = 24

Now, isolate x on one side:

-5x = 24

Divide by -5 to solve for x:

x = 24 / -5

x ≈ -4.8

5. (2x - 3)/2 - 3 - 4x/4 - 3 - 5x/8 = 0

To simplify the fractions, multiply the entire equation by 8 (the common denominator):

8 * [(2x - 3)/2] - 8 * 3 - 8 * [4x/4] - 8 * 3 - 8 * [5x/8] = 0

Simplify:

4(2x - 3) - 24 - 8x - 24 - 5x = 0

Now, distribute and combine like terms:

8x - 12 - 8x - 49 = 0

-12 - 49 = 0

-61 = 0

This equation has no solution. The variable x cancels out, and we end up with a contradiction (-61 = 0).

In conclusion:

1. No solution
2. x ≈ -8.33
3. x ≈ 0.29
4. x ≈ -4.8
5. No solution