Final answer:
To find the weight of Lylah's dog, we solve the equation r + 6r = 56, where r represents the weight of the rabbit. We find that r equals 8, and since the dog weighs 6 times more than the rabbit, the dog weighs 48 pounds.
Step-by-step explanation:
The question involves solving a linear equation to find the weight of Lylah's dog.
We are told that the dog weighs 6 times as much as the rabbit, and together they weigh 56 pounds.
If we let the weight of the rabbit be r pounds, then the dog's weight is 6r pounds.
The equation to represent this situation is r + 6r = 56.
To find the weight of the rabbit, we combine like terms:
7r = 56
Now divide both sides by 7 to solve for r:
r = 8
Now that we know the rabbit weighs 8 pounds, we multiply this by 6 to find the weight of the dog:
Weight of Lylah's dog = 6 × 8 = 48 pounds.