Question

Найдите корень уранения: 6x-19=-x-10 7-2x=3x-18 2x+9=2x-4

Answer 1

Ответ:

Пошаговое объяснение:

6x-19=-x-10

6х+х=-10+19

7х=9

х=9:7

х=1 2/7

7-2x=3x-18

-2х-3х=-18-7

-5х=-25

х=-25:(-5)

х=5

2x+9=2x-4

2х-2х=-4-9

0х=-13

х=корней нет

Answer 2

To find the solution to the equation 6x - 19 = -x - 10 + 7 - 2x = 3x - 18 + 2x + 9 = 2x - 4, we need to simplify and solve each equation separately.

Simplifying the first equation:

6x - 19 = -x - 10 To simplify, we can combine like terms: 7x - 19 = -10

Solving the first equation:

To isolate the variable x, we can add 19 to both sides of the equation: 7x - 19 + 19 = -10 + 19 This simplifies to: 7x = 9

Now, we can solve for x by dividing both sides of the equation by 7: 7x/7 = 9/7 The simplified solution is: x = 9/7

Simplifying the second equation:

-x - 10 + 7 - 2x = 3x - 18 + 2x + 9 To simplify, we can combine like terms: -3x - 3 = 5x - 9

Solving the second equation:

To isolate the variable x, we can add 3x to both sides of the equation: -3x + 3x - 3 = 5x + 3x - 9 This simplifies to: -3 = 8x - 9

Next, we can add 9 to both sides of the equation: -3 + 9 = 8x - 9 + 9 This simplifies to: 6 = 8x

Finally, we can solve for x by dividing both sides of the equation by 8: 6/8 = 8x/8 The simplified solution is: x = 3/4

Simplifying the third equation:

3x - 18 + 2x + 9 = 2x - 4 To simplify, we can combine like terms: 5x - 9 = 2x - 4

Solving the third equation:

To isolate the variable x, we can subtract 2x from both sides of the equation: 5x - 2x - 9 = 2x - 2x - 4 This simplifies to: 3x - 9 = -4

Next, we can add 9 to both sides of the equation: 3x - 9 + 9 = -4 + 9 This simplifies to: 3x = 5

Finally, we can solve for x by dividing both sides of the equation by 3: 3x/3 = 5/3 The simplified solution is: x = 5/3

Summary of solutions:

The solutions to the given equation are: x = 9/7, x = 3/4, and x = 5/3.