Question

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


5 over 3x = ?

x = ?

Answer 1

To solve the equation, we can start by subtracting 11/3 from both sides of the equation:

5/(3x) + 11/3 - 11/3 = -4/3 - 11/3

5/(3x) = -15/3

Next, we can simplify -15/3:

5/(3x) = -5

To isolate x, we can multiply both sides of the equation by (3/5):

(3/5)(5/(3x)) = (3/5)(-5)

1/x = -3/5

Finally, to solve for x, we can take the reciprocal on both sides:

x = 5/(-3)

x = -5/3