A carpenter saws a board that is 22 feet long into two pieces. One piece is to be 1 foot longer than twice the length of the shorter piece. Find the length of each piece.
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Let x = length of one piece of woodLet y = 1 + 2x = length of the other piece of woodx+y=22x+1+2x=223x+1=223x+1−1=22−13x=2133x=321x=7y=1+2xy=1+2(7)y=1+14y=15EquationSubstitute the value of yCombine like termsUse subtraction property of equalitySimplifyUse division property of equalitySimplifyFind the value of ySubstitute 7 for xMultiplyAdd