If DE=4x-1, EF=9 and DF=9x-22, find the value of x

x = 6

Step-by-step explanation:

From the given information we can write the equation

DF = DE + EF (substitute the values for the segments)

9x - 22 = 4x - 1 + 9

9x - 22 = 4x + 8 (subtract 4x from both sides)

5x - 22 = 8 (add 22 to both sides)

5x = 30 (divide both sides by 5)

x = 6