Solving Systems of Equations

Chapter Seven

Definition

Any pair of numbers that satisfies both equations is a solution to the system of equations.

Two Methods:Graphing and Substitution

y = 2x3x – y = 5

Two Methods:Graphing and Substitution

3x + 5y = 20 2x + y = 4

Two Methods:Graphing and Substitution

x + 3y = 15 5x - 6y = 19

Nancy is training for her commercial pilot’s license. She can afford to spend only $3500 on the required 50 hours of instruction. Nancy would like to spend as much time as possible training in an airplane, but airplane instruction costs $98 per hour. Training in the simulator costs only $46 per hour. How many hours should Nancy spend in an airplane and

how many should she spend in the simulator?