The equation 5/3x + 11/3 = −4/3 is solved as follows. Fill in the correct numbers to complete the solution.

1 answer

To solve the equation 5/3x + 11/3 = -4/3, we can first subtract 11/3 from both sides to isolate the term with x.
This gives us 5/3x = -4/3 - 11/3.
Next, we can combine the fractions on the right side by finding a common denominator of 3.
-4/3 - 11/3 = -15/3,
so our equation becomes 5/3x = -15/3.
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5.
(3/5)(5/3)x = (3/5)(-15/3),
which simplifies to x = -9.
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -9.