Question

X/3+3x/5=4-x/15 , 5-х/2-х/4=х+х/3

Answer 1

1)   5x/15+9x/15+x/15=4
     15x/15=4
       x=4
2)    5-2x/4-x/4=3x/3+x/3
       3x/4+4x/3=5
       25x/12 =5
       25x=5*12
       25x=60
       x=60/25
       x=2,4

Answer 2

To solve these equations, let's start with the first one:

1. (x/3) + (3x/5) = 4 - (x/15)

First, we can clear the denominators by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 15:

15 * [(x/3) + (3x/5)] = 15 * (4 - (x/15))

Now, simplify each term:

5x + 9x = 60 - x

Combine like terms:

14x = 60 - x

Add x to both sides:

14x + x = 60

15x = 60

Now, divide both sides by 15 to solve for x:

x = 60 / 15 x = 4

So, the solution to the first equation is x = 4.

Now, let's solve the second equation:

2. 5 - (x/2) - (x/4) = x + (x/3)

To get rid of the fractions, multiply both sides of the equation by 12 (the LCM of 2, 4, and 3):

12 * [5 - (x/2) - (x/4)] = 12 * (x + (x/3))

Now, simplify each term:

12 * 5 - 6x - 3x = 12x + 4x

60 - 9x = 16x

Now, add 9x to both sides:

60 = 25x

Now, divide both sides by 25 to solve for x:

x = 60 / 25 x = 12/5

So, the solution to the second equation is x = 12/5 or 2.4.