Question

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

Answer 1

To solve the equation, we need to isolate the variable x.

First, subtract 11/3 from both sides of the equation:

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

This simplifies to:

5/3x = -15/3

Next, divide both sides of the equation by 5/3 to solve for x:

(5/3x)/(5/3) = (-15/3)/(5/3)

This simplifies to:

x = -15/3 * 3/5

Multiplying the numerators and denominators gives us:

x = -45/15

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 15:

x = -3/1

So the solution to the equation is x = -3.