Question

Розв'яжи рiвняння та зроби перевірку. 1 1) x- 2 - - 4 x+1; 5 02-40 2) x-8 = -x+10; 6 3) ²/7 x - 1/7² О 4) - 45 -x = 2; 2/3 15 - Х ---- 95 балов​

Answer 1

x-2 -(-4x+1) = 5x-1
x-2 + 4x-1 = 5x-1
5x - 3 = 5x - 1 (combining like terms)
0 = 2
There is no solution to the equation.
x-8 = -x+10
x+x = 10+8 (moving variables to one side and constants to the other)
2x = 18
x = 9
Checking:
x-8 = 9-8 = 1
-x+10 = -9+10 = 1
Both sides are equal to 1, so the solution is correct.
²/7 x - 1/7² = 0
²/7 x = 1/7²
x = (1/7²) * (7²/2)
x = 1/2
Checking:
²/7 (1/2) - 1/7² = 1/14 - 1/49
(7/49) - (1/49) = 6/49
6/49 can be simplified to ²/7, which is equal to the left side of the equation. Therefore, the solution is correct.
-45 - x = 2 2/3 (converting the mixed number to an improper fraction)
-45 - x = 8/3
-x = 8/3 + 135/3
-x = 143/3
x = -143/3
Checking:
-45 - (-143/3) = -45 + 143/3
-45 = -45
Both sides are equal, so the solution is correct.

Answer 2

Пошаговое объяснение:

1/3х - 2 = 1/4х + 1

1/3х - 1/4х = 1 + 2

4/12х - 3/12х = 3

1/12х = 3

х = 3 : 1/12

х = 3 * 12/1

х = 36

1/6х - 8 = -5/6х + 10

1/6х + 5/6х = 10 + 8

6/6х = 18

х = 18

2/7х - 1/7х = 2

1/7х = 2

х = 2 : 1/7

х = 2 * 7/1

х = 14

-4/5х - 2/3 = 1/5х + 1/3

-4/5х - 1/5х = 1/3 + 2/3

-5/5х = 3/3

-х = 1

х = -1