Show Intro/Instructions A wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer than
the shorter piece. Find the length of the shorter piece of wire.

Let the length of the 2 pieces = L and S

Let L = the longer piece and S = the shorter piece

A wire 26 cm is cut into 2 pieces.  This equates toL + S = 26

The longer piece is 6 cm longer than the shorter piece.  This equates toL = 6 + S.  Substitute this equation into the first one, you get

L + S = 26

6 + S + S = 26

2S = 20

S = 20/2 = 10 cm

L = 6 + S = 6 + 10 = 16 cm

To confirm, L + S = 26

16 + 10 = 26!

Hope the above was helpful.

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