1. Equal Values Method

2. Since we want to know when the weights (y) are equal, the right sides need to be equal too. Example: Chubby Bunny Barbara has a bunny that weighs 5 lbs and gains 3 lbs per year. Her cat weighs 19 lbs and 1 lbs per year. (a) When will the bunny and cat weigh the same amount? Write rules where x represents the number of years and y represents the weight of the animal. 7 years (b) How much do the cat and bunny weigh at this time? Substitute the x from (a) into an equation: pounds Both equations SHOULD give you the same answer.

3. Example: Equal Values Method Solve the following system of equation algebraically: Both equations equal y. Set them equal to each other.

4. Writing a system of Equations Elise took all of her cans and bottles from home to the recycling plant. The number of cans was one more than four times the number of bottles. She earned 10¢ for each can and 12¢ for each bottle, and ended up earning $2.18 in all. How many cans and bottles did she recycle? Bottles: Cans: bottles cans b:b: Number of bottles Elise took to the recycling plant c:c: Number of cans Elise took to the recycling plant Solve the other equation for c too Equal Values Method