Homework Help: algebra 2

Posted by bandit on Thursday, August 6, 2009 at 10:26pm.

i have a piece of wood 72 inches long i cut it into 3 peices. the 2nd peice is 6 inches longer than the 1st the third id 6 inches longer than the 2nd. write and equation and solve??

algebra 2 - MathMate, Thursday, August 6, 2009 at 10:31pm
First you define the variable,
let x be the length of the first piece in inches.
Then make an equation using the variable to represent the given relations:
x + (x+6) + (x+6)+6 = 72
Collect like terms:
3x + 18 = 72
Solve for x:
3x = 72 - 18 = 54
x = 18
Finally, verify the answer using the given relations.
First piece = 18 inches
second piece = 24 inches
third piece = 30 inches
Total = 18+24+30 = 72 inches
The solution is correct.
algebra 2 - bandit, Thursday, August 6, 2009 at 11:19pm
thank you

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