To prove the identity, we need to simplify both sides of the equation and show that they are equal.
Starting with the left side of the equation:
4.8(5x - 7y) - (2/21) (4.9x + 5/18 4.5y - 23) - (8/15)x
= 24x - 33.6y - (0.933x + 1.25y - 23/21) - (8/15)x
= 24x - 33.6y - 0.933x - 1.25y + 23/21 - 8/15x
= 23.067x - 34.85y + 1.095
Now simplifying the right side of the equation:
-32.35y
Both sides of the equation are not equal. Therefore, the given equation is not an identity.
To prove the identity, we need to simplify both sides of the equation and show that they are equal.
Starting with the left side of the equation:
4.8(5x - 7y) - (2/21) (4.9x + 5/18 4.5y - 23) - (8/15)x
= 24x - 33.6y - (0.933x + 1.25y - 23/21) - (8/15)x
= 24x - 33.6y - 0.933x - 1.25y + 23/21 - 8/15x
= 23.067x - 34.85y + 1.095
Now simplifying the right side of the equation:
-32.35y
Both sides of the equation are not equal. Therefore, the given equation is not an identity.