In basketball, a free throw is worth 1 point and a field goal is either 2 points or 3 points. In the 2015 – 2016 regular season, the year he was the unanimous MVP of the league, Stephen Curry scored 2,375 points. The total number of 2-point and 3-point field goals he made was 805 and the total number of free throws he made was 363. How many 2-point field goals and 3-point field goals did Stephen Curry make in the (historic) 2015 – 2016 season?
Define the variables in the problem. Write the system of equations for the situation. Then solve using any algebraic method.

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to