(30 points + brainliest)
a 102-inch pipe is cut into two pieces. one piece is five times the length of the other. find the length of the shorter piece!

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