A hair salon is offering haircuts at discounted prices. Each cut for short hair costs $20, and each cut for long hair costs $35. The first day the salon used the discounted prices, the hairdressers earned a total of $1,070 from haircuts. The hairdressers gave a total of 37 haircuts that day. Answer the questions that follow to write a system of linear equations that models this situation.

1) Let x represent the number of haircuts for short hair. Let y represent the number of haircuts for long hair.

A haircut for short hair costs $20, and a haircut for long hair costs $35. The salon earned a total of $1,070 from haircuts the first day. Write an equation in standard form that models the salon’s earnings from each type of haircut that day.

2) Let x represent the number of short haircuts. Let y represent the number of long haircuts.

The salon gave a total of 37 haircuts for short and long hair the first day. Write an equation in standard form that models the number of short and long haircuts given that day.