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3x+2y >= 24
Erica's goal is to score at least 24 points in her next playground basketball game. The given inequality represents this goal, where 
x is the number of 3 point field goals she scores and 
y is the number of 2 -point field goals she scores. If she scores 53 -point field goals, what is the minimum number of 2 point field goals she must score to meet her scoring goal?

3x+2y243x+2y \geq 24\newlineErica's goal is to score at least 2424 points in her next playground basketball game. The given inequality represents this goal, where \newlinex is the number of 33 point field goals she scores and \newliney is the number of 22-point field goals she scores. If she scores 55 33-point field goals, what is the minimum number of 22 point field goals she must score to meet her scoring goal?

Full solution

Q. 3x+2y243x+2y \geq 24\newlineErica's goal is to score at least 2424 points in her next playground basketball game. The given inequality represents this goal, where \newlinex is the number of 33 point field goals she scores and \newliney is the number of 22-point field goals she scores. If she scores 55 33-point field goals, what is the minimum number of 22 point field goals she must score to meet her scoring goal?
  1. Substitute xx with 55: Substitute xx with 55 in the inequality 3x+2y243x + 2y \geq 24 to find the minimum value of yy.
  2. Do the multiplication: Do the multiplication: 3×5=153 \times 5 = 15.
  3. Subtract to isolate yy: Subtract 1515 from both sides to isolate the term with yy.
  4. Do the subtraction: Do the subtraction: 2415=924 - 15 = 9.
  5. Divide to solve for yy: Divide both sides by 22 to solve for yy.

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