Question

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 need help writing a system of equations for this.

Answer 1

7x+3y=193

x+y=35

Explanation:

Answer 2

so it would be

x+y=35 (the number of touchdowns, plus the number of field goals equals the 35 times they scored)

7x+3y=193 (The number of points for touchdowns times the amount of touchdowns, plus the number of points for field goals times the amount of field goals there were equals the 193 total points.

Explanation:

I just learned the system of equations, they suck :(

but i hope I helped :)