Acable is 84 meters long, it is cut into two pieces so that one piece is 18 meters longer than the other. find the length of each piece of cable.

The small cable is 33 meters and the large one is 51 meters.

Let the length of the smallest cable be represented by x

Therefore, the bigger cable will be x+18

The equation to solve the question will be:

x + x+18 = 84

2x + 18 = 84

Collect like terms

2x = 84 - 18

2x = 66

x = 66/2

x = 33

The small cable is 33 meters

The large cable will be:

= x + 18

= 33 + 18

= 51 meters.

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Long Piece: x + 18

Short Piece: x

(x) + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Long Piece: x + 18  = (33) + 18   = 51

33 meters and 51 meters

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.