To solve the linear equation 5x + 11/9 = 16, we will isolate the variable x.
Step 1: Begin by subtracting 11/9 from both sides of the equation:
5x + 11/9 - 11/9 = 16 - 11/9
5x = 16 - 11/9
Step 2: Simplify the right side of the equation:
5x = (144/9 - 11/9)
5x = 133/9
Step 3: Divide both sides of the equation by 5:
(5x)/5 = (133/9)/5
x = 133/9 * 1/5
x = 133/45
Therefore, the solution to the equation 5x + 11/9 = 16 is x = 133/45.