SOLUTION: A twelve foot board is cut into two pieces such that the second piece is 4 feet less than three times the length of the first piece. Find the length of both pieces

Question 515453: A twelve foot board is cut into two pieces such that the second piece is 4 feet less than three times the length of the first piece. Find the length of both pieces
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Two pieces: x and y
x + y = 12
so
x = 12-y
.
x = 3y -4
.
since x=x
.
12-y = 3y-4
16 = 4y
4y = 16
y = 4
.
x = 12-4
x = 8
.
Check to be sure this is the answer.
.
3*4 = 12
12-4 = 8
Correct.
.
Answer: The two pieces are 4 ft and 8 ft respectively.
.
Done.
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