Question

-4/5а+1+5/6а=1/2а-2/5

Answer 1

приводишь к общему знаменателю 30.

и получается: -24а+30+25а=15а-12

-24а+25а-15а=-12-30

-14а=-42

а=3

Answer 2

To solve the equation, let's combine like terms and isolate the variable "a" on one side of the equation. Here are the steps:

-4/5a + 1 + 5/6a = 1/2a - 2/5

First, let's simplify the equation by finding a common denominator for the fractions involved. In this case, the common denominator is 30.

(-4/5)a + 1 + (5/6)a = (1/2)a - (2/5)

Now, multiply each term by 30 to eliminate the fractions:

(-4/5)a * 30 + 1 * 30 + (5/6)a * 30 = (1/2)a * 30 - (2/5) * 30

Simplifying further:

-24a + 30 + 25a = 15a - 12

Combine like terms:

-24a + 25a + 15a = 30 - 12

-24a + 40a = 18

Combine like terms:

41a = 18

Finally, isolate "a" by dividing both sides of the equation by 41:

a = 18/41

So, the solution to the equation is a = 18/41.