Solving a System of Equations with the Equal Values Method

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Solving a System of Equations with the Equal Values Method - PowerPoint PPT Presentation

Solving a System of Equations with the Equal Values Method. 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?.

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Solving a System of Equations with the Equal Values Method

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.

Since we want to know when the weights (y) are equal, the right sides need to be equal too.

Both equations SHOULD give you the same answer.

7 years

(b) How much do the cat and bunny weigh at this time?

pounds

Substitute the x from (a) into an equation:

Example: Equal Values Method

Solve the following system of equation algebraically:

Both equations equal y. Set them equal to each other.

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?

Number of bottles Elise took to the recycling plant

b:

Number of cans Elise took to the recycling plant

c:

Equal Values Method

Solve the other equation for c too

Bottles:

bottles

Cans:

cans