The equation 5/3 X +11/3 equals -4/3 is solved as follows bill in the correct number to complete the solution 5/3 X equals blank subtract 11/3 from both sides. The next box says X equals blank multiply both sides by 3/5 the reciprocal of 5/3, what is the answer?
To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the term containing x.
First, subtract 11/3 from both sides:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
5/3x = -15/3
Next, simplify the right side:
5/3x = -5
To solve for x, we need to multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
(3/5)(5/3x) = (3/5)(-5)
(1)(x) = -15/5
x = -3
So the solution is x = -3.