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The 40 ft board is to be cut into 2 pieces,which is the equation:
The Longer piece is 7 feet longer than twice the shorter piece, its equation is:
Then you substitute the y= equation into the x+y equation:
x+7+2x=40 (add together the x's, subtract 7 from 40)
3x=33 (divide by 3 to isolate x)
Then plug x into either equation
The shorter piece is 11 feet and the longer piece is 29 feet.