Ethan’s football team scored a total of 35 separate times this season, with a mix of touchdowns and field goals. each touchdown is worth 7 points, and each field goal is worth 3 points. if the team scored a total of 193 points this season, how many touchdowns and field goals did they score?

I do not have a Inspire calculator with me at the time. But I do have the equation you can enter into Solve systems (systems of equations or whatever they call it )
x=touchdowns
y=field goals

x+y=35
7x+3y=193

once you get the results x will still stand for touchdowns and y stands for field goals, and there's your answer.

hoped I helped a little.

Were is the diagram?