Answer: the required system of equations are
x + y = 6
6x + 5y = 35
Step-by-step explanation:
Let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.
There are 6 hours available before Sydney's father's birthday party where she can either clean or rake leaves. It means that
x + y = 6
Sydney needs to earn $35 so she can buy her father a birthday present. Her mom said she can make $6 per hour cleaning around the house and $5 per hour raking leaves. This means that
6x + 5y = 35