Question

-1/х-1/4х+1/5х=1 8/15 2 5/6x-3 3/4x-1 5/12x=-1 5/9

Answer 1

Ответ:

Пошаговое объяснение:

-1/x -1/(4x) +1/(5x)=1 8/15

(-20-5+4)/(20x)=23/15    |×5

-21·3=23·4x

x=-63/92

2 5/(6x) -3 3/(4x) -1 5/(12x)=-1 5/9

17/(6x) -15/(4x) -17/(12x)=-14/9

34/(12x) -45/(12x) -17/(12x)=-14/9    |×3

-28/(4x)=-14/3

7·3=14x

x=21/14=3/2=1,5

Answer 2

It looks like you've provided an equation with various fractions involving the variable "x." Let's simplify the equation and solve for the value of "x."

The equation you've given is:

-1/x - 1/(4x) + 1/(5x) = 8/15 - 2 + 5/(6x) - 3/(4x) - 1/(5/12x) = -1 + 5/9

Let's break down and solve this step by step:

1. Combine the fractions on the left-hand side: -1/x - 1/(4x) + 1/(5x) = (-4 - 1 + 1)/(4x) = -4/(4x) = -1/x

2. Combine the fractions on the right-hand side: 8/15 - 2 + 5/(6x) - 3/(4x) - 1/(5/12x) = (8/15 - 2 + 5/(6x) - 3/(4x) - 12/5x) = (-22 + 5/(6x) - 3/(4x) - 12/5x)

3. Rewrite the right-hand side using a common denominator: = (5/(6x) - 3/(4x) - 12/5x - 22/(30x)) = (5/(6x) - 3/(4x) - 12/(5x) - 22/(30x)) = (10/(12x) - 9/(12x) - 72/(60x) - 22/(30x)) = (10 - 9 - 72 - 22)/(60x) = (-93)/(60x) = -31/(20x)

4. Now, the equation becomes: -1/x = -31/(20x) + 5/9

5. Multiply both sides of the equation by "x" to get rid of fractions: -1 = -31/(20) + (5/9)x

6. Add 31/20 to both sides: 31/20 - 1 = (5/9)x 11/20 = (5/9)x

7. Multiply both sides by 9/5: (9/5) * (11/20) = x 99/100 = x

So, the solution to the equation is x = 99/100.