The system of Linear equations is; y = 7x + 3(6 - x) and the solution is;
7 scores from touchdowns
15 scores from field goals
Total score of 22
Let the number of touchdowns be x
Let the total of the home team points be y
Thus, the number of field goals = 6 - x since the team scores 6 times.
Thus, since the home team points are from 7 point touchdowns and 3 point field goals, then it means we have the equation;
y = 7x + 3(6 - x)
where;
7x is scores from touchdowns
3(6 - x) is scores from field goals
Thus;
y = 7x + 18 - 3x
y = 4x + 18
Let's try x = 1 and we have;
7(x) = 7(1) = 7 scores from touchdowns
3(6 - 1) = 15 scores from field goals
y = 4(1) + 18
y = 22
Read more about system of linear equations at; https://brainly.com/question/14323743
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