SOLUTION: Matthew made 26 baskets during basketball game. The number of 3-point shots was 2 more than half the number of 2-point shots. How many of each type shot did he make? How many total

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Matthew made 26 baskets during basketball game. The number of 3-point shots was 2 more than half the number of 2-point shots. How many of each type shot did he make? How many total      Log On


   

Question 1093324: Matthew made 26 baskets during basketball game. The number of 3-point shots was 2 more than half the number of 2-point shots. How many of each type shot did he make? How many total points did he score?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x are 2 pointers
26-x are 3 pointers
but 3 pointers are also (1/2)x+2
therefore, (1/2)x+2=26-x
multiply everything by 2 to clear the fraction
x+4=52-2x
3x=48
x=16--2 pt
26-x=10--3 pt, which is 2 more than half (8) of the 2 pointers.