Question

Anthony's age, x, is 5 less than twice Brian's age, y. Brian's age is 7 less than Anthony's age. Which system of equations represents this

situatIon

Answer 1

Anthony's age: 2y - 5 = x

Brian's age: x - 7 = y

Explanation:

Anthony: If his age is 5 less, this means - 5 is in the equation. It is 5 less than twice Brian's age, meaning × 2, or in algebra, 2y. So Anthony's age is 2y - 5

Brian: His age is 7 less so this means - 7 is in the equation. We know Anthony's age is x so Brian's age is x - 7