The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution. (1 point)

5/3x+11/3=−4/3
5/3x=
Subtract 11/3 from both sides.
x=
Multiply both sides by 3/5, the reciprocal of 5/3.

1 answer

To solve the equation, we can follow these steps:

1. Start with the equation 5/3x + 11/3 = -4/3.
2. To isolate the term with x, subtract 11/3 from both sides:
5/3x = -4/3 - 11/3
5/3 x = -15/3
3. Simplify the right side of the equation:
5/3 x = -5
4. To solve for x, multiply both sides by the reciprocal of 5/3, which is 3/5:
(3/5) * (5/3) x = - 5 * (3/5)
The fractions on the left side cancel out, leaving us with:
x = - 15/5
5. Simplifying the right side gives us the final solution:
x = -3