SOLUTION: the Lakers scored a total of 80 points in a basketball game against the bulls, The Lakers made a total of 37 two-point and three-point baskets.How many two-points did the Lakers ma

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the Lakers scored a total of 80 points in a basketball game against the bulls, The Lakers made a total of 37 two-point and three-point baskets.How many two-points did the Lakers ma      Log On


   



Question 398258: the Lakers scored a total of 80 points in a basketball game against the bulls, The Lakers made a total of 37 two-point and three-point baskets.How many two-points did the Lakers make? How many three-point shots did the Lakers make?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = # of 2-points made, and y = # of 3-points made.
Then x +y = 37,
2x +3y = 80.
From the top equation, y = 37 - x. Substitute this into the bottom equation:
2x + 3(37 - x) = 80
2x + 111 - 3x =80
-x = - 31
x = 31, # of 2-points made, and
37 - x = 6, the # of 3-points made.