Answer:
shorter = 17 longer = 85
Step-by-step explanation:
x = longer y = shorter
102 = x + y (whole pipe length, 102, = sum of the 2 pieces, x + y )
x = 5y (longer piece = 5 times length of shorter piece)
102 = 5y + y (substitute for x)
102 = 6y (solve for y)
y = 17
102 = x + 17 (sub what you got for y back into original equation + solve)
x = 85
