To solve the first equation (5/12x - 4/15x = 0), we need to find a common denominator for the fractions:
(5/12x - 4/15x = 0)
To find a common denominator for 12 and 15, we can use 60:
(25/60x - 16/60x = 0)
Combine like terms:
(9/60x = 0)
Now, solve for x:
(9x = 0)
(x = 0)
Therefore, the solution to the first equation is x = 0.
For the second equation (0.51x - 0.2x = 8/15), combine the like terms:
(0.51x - 0.2x = 8/15)
(0.31x = 8/15)
To solve for x, divide both sides by 0.31:
(x = (8/15) / 0.31)
(x = (8/15) * (100/31))
(x = 53.54)
Therefore, the solution to the second equation is (x = 53.54).
To solve the first equation (5/12x - 4/15x = 0), we need to find a common denominator for the fractions:
(5/12x - 4/15x = 0)
To find a common denominator for 12 and 15, we can use 60:
(25/60x - 16/60x = 0)
Combine like terms:
(9/60x = 0)
Now, solve for x:
(9x = 0)
(x = 0)
Therefore, the solution to the first equation is x = 0.
For the second equation (0.51x - 0.2x = 8/15), combine the like terms:
(0.51x - 0.2x = 8/15)
(0.31x = 8/15)
To solve for x, divide both sides by 0.31:
(x = (8/15) / 0.31)
(x = (8/15) * (100/31))
(x = 53.54)
Therefore, the solution to the second equation is (x = 53.54).