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At a basketball​ game, a team made

52

successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored

89

points in all. Write and solve a system of equations to find the number of each type of shot. need an answer

 Jan 25, 2021
 #1
avatar+116126 
+1

Let the number of  1 point shots =   x

Let the numberof 2 point shots   =  y

 

So

 

x  +   y     =    52

1x  + 2y   =    89              subtract the frist equation  from the second

 

y =  37  = the number of 2 point shots

 

x +  y  = 52

x + 37  =52

x = 52   - 37   =  15   = the  number of  1 point shots

 

 

cool cool cool

 Jan 25, 2021
 #2
avatar
+1

   x = 2 pointers     then 

  52-x = 1 pointers

2x     +  1(52-x) = 89

x = 89-52 = 37  2 point shots      then    52-37 = 15   1-pointers

 

( I guess this could be considered a 'system' of equations !)

 Jan 25, 2021

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