Question

Field goals worth three points and touchdowns worth seven points were scored during the homecoming football game. With 11 scores, the team set a county record of 57 points. Build a system of equations that can be used to find how many field goals and touchdowns were made.

Answer 1

fg + td = 11
3 * fg + 7 * td = 57

So 5 field goals (5 * 3 = 15)
+ 6 touchdowns (6 * 7 = 42)