SOLUTION: A board that is 81 cm long is cut into two pieces. The first piece is 7 cm less than three times the second. Find the length of each piece? Translate the problem into an equatio

Algebra ->  Equations -> SOLUTION: A board that is 81 cm long is cut into two pieces. The first piece is 7 cm less than three times the second. Find the length of each piece? Translate the problem into an equatio      Log On


   

Question 514129: A board that is 81 cm long is cut into two pieces. The first piece is 7 cm less than three times the second. Find the length of each piece? Translate the problem into an equation.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
2 pieces: x, y
x+y = 81
.
x = 3y -7
.
substitute
.
3y-7 +y = 81
.
4y = 88
.
y = 22
.
x = 3(22)-7
x = 66-7
x = 59
.
Check the solution.
22+59 = 81
OK.
.
Answer the two pieces are: 22 and 59 cm.