A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each). The team made 1 more extra point than field goals, represented by the equatione = f + 1, where e is the number of extra points and fis the number of field goals scored.

They also scored five times as many points on touchdowns as field goals, represented by the equation 6t = 158, where t is the number of touchdowns and f is the number of field goals scored.

Write a system of equations representing this situation and use it to complete the statement.

The team scored ___ touchdowns, ___

extra points, and ___

field goals.