2.2 Solving Systems of Equations in 3 Variables

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2.2 Solving Systems of Equations in 3 Variables Objectives: Solve Systems of equations involving 3 variables algebraically.

See page 73 Ex. 1) Solve by elimination. 5x – 2y + z = 11 2x + y + 3z = 0 6x – 2y – 2z = 16 Ordered Triple: The solution to a system of equations in 3 variables.

Ex. 2) Solve by substitution. 3y = -9z 4x + 2y – 2z = 0 -3x – y + 4z = -2 Ex. 3) In the 1998 season, Sheryl Swoopes made 83% of her 86 attempted free throws. She made 244 of her 1-point, 2-point, and 3-point attempts, resulting in 453 points. Find the number of 1-point free throws, 2 point field goals, and 3-point field goals Swoopes made in the 1998 season.