SOLUTION: an astronomer notice that one star gives off about 3.6 times as much energy as another star plus 400 units of energy. All together the stars give 55844 units of energy. How many un

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: an astronomer notice that one star gives off about 3.6 times as much energy as another star plus 400 units of energy. All together the stars give 55844 units of energy. How many un      Log On


   

Question 770978: an astronomer notice that one star gives off about 3.6 times as much energy as another star plus 400 units of energy. All together the stars give 55844 units of energy. How many units of energy does each star emit?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
One star = x
Another star = y
x + y = 55844 units
one star gives off about 3.6 times as much energy as another star plus 400 units of energy.
x = 3.6y + 400
x + y = 55844
Substitute 3.6y + 400 for x
3.6y + 400 + y = 55844
4.6y = 55844 - 400
4.6y = 55444
y = 12053.
One star (x) emits 43791 units of energy
Another star (y) emits 12053 units of energy.
Hope this helps.
:-)