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Heeeelp plzzz
!!! Will give brainliest!! Linda had a great week in basketball. In two games she scored a total 41 points and made 17 shots. If she did not make any free throws, how many 2 point and how many 3 point shots did she make in these two games? Give me the variables and write the two equations I will solve the rest - Thank you ​

Respuesta :

mhanifa

Answer:

  • 10 two-point shots, 7 three-point shots

Step-by-step explanation:

Let the 2-point shots be x and 3-point shots be y.

We set up following equations:

  • x + y = 17
  • 2x + 3y = 41

Solve by elimination, triple the first equation and subtract the second equation:

  • 3x + 3y - 2x - 3y = 17*3 - 41
  • x = 51 - 41
  • x = 10

Find y:

  • 10 + y = 17
  • y = 17 - 10
  • y = 7