Question

(5а-1)/3= (2а-3)/5-1

Answer 1

Ответ:

(5а-1)/3= (2а-3)/5-1

5(5а-1)=3(2а-3)-15\

25а-5=6а-9-15

25а-5=6а-24

25а-6а=-24+5

19а=-19

а=-1

Пошаговое объяснение:

Answer 2

Let's solve the equation step-by-step:

(5а - 1) / 3 = (2а - 3) / 5 - 1

Step 1: Get rid of the fractions by multiplying both sides of the equation by their common denominator, which is 15 (the least common multiple of 3 and 5).

15 * ((5а - 1) / 3) = 15 * ((2а - 3) / 5) - 15 * 1

Step 2: Simplify both sides.

5а - 1 = 3 * (2а - 3) - 15

Step 3: Distribute the 3 on the right side.

5а - 1 = 6а - 9 - 15

Step 4: Combine like terms.

5а - 1 = 6а - 24

Step 5: Move the variable terms (5а and 6а) to one side and the constants (-1 and -24) to the other side.

5а - 6а = -24 + 1

Step 6: Simplify further.

-а = -23

Step 7: Isolate the variable а by dividing both sides by -1.

а = 23

So the solution to the equation is а = 23.