Special Types of Solutions to Linear Systems
Music A music store offers piano lessons at a discount for customers buying new pianos. The costs for lessons and a one-time fee for materials (including music books, CDs, software, etc.) are shown in the advertisement. What is the cost of each lesson and the one-time fee for materials?
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Define | Let
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Which equation should you use to find f?
Use the equation with numbers that are easier to work with.
Check
Substitute c = 30 and f = 120 in the original equations.
The cost of each lesson is $30. The one-time fee for materials is $120.
You can use the Addition Property of Equality to solve a system of equations. If you add a pair of additive inverses or subtract identical terms, you can eliminate a variable.