A wood piece 100 cm long cut into two pieces so that the longer piece is 10 cm long than twice the length of shorter piece. What is the length of longer piece?

For this case we propose a system of equations:x: Let the variable representing the length of the longer piecey: Let the variable representing the length of the shorter pieceAccording to the statement data we have:[tex]x + y = 100\\x = 10 + 2y[/tex]Substituting the second equation into the first we have:[tex]10 + 2y + y = 100\\10 + 3y = 100\\3y = 100-10\\3y = 90\\y = \frac {90} {3}\\y = 30[/tex]Thus, the shorter piece is 30 cm.[tex]x = 10 + 2y\\x = 10 + 2 (30)\\x = 10 + 60\\x = 70[/tex]Thus, the longer piece is 70 cm.Answer:The longer piece is 70 centimeters.