Choosing the Best Method

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Choosing the Best Method Lesson 27 Linear Equations Choosing the Best Method

Warm-Up Solve one of the systems below using any method. Explain why you chose your method. y = 5x – 4 x + 2y = 25 2x + 7y = 1 –2x + 2y = –10 y = x – 4 y = –3x + 3

Choosing the Best Method Target: Choose the best method for solving a given system of equations.

Choosing a Method to Solve a System of Linear Equations Graphing: Both equation are in slope-intercept form. Tables: Both equations are in slope-intercept form and the slope is an integer. Substitution: A variable is isolated in one equation. Elimination: Both equations are in standard form and the variables are lined up in columns.

Example 1a Choose the best method to solve the system of equations. Explain your reasoning. x – 2y = 10 3x + 2y = 6 Elimination The y-variable will easily be eliminated.

Example 1b Choose the best method to solve the system of equations. Explain your reasoning. y = 2x – 3 4x – 5y = –1 Substitution The first equation is already solved for y.

Example 1c Choose the best method to solve the system of equations. Explain your reasoning. y = x y = 2x + 7 Graphing The equations are already in slope-intercept form.

Example 1d Choose the best method to solve the system of equations. Explain your reasoning. y = 5x – 9 y = 2x – 3 Tables The equations are already in slope-intercept form and the slopes are integers.

Exit Problems Write a sample of a system of equations that would be best solved by… elimination graphing substitution

Communication Prompt Choose one method for solving a system of equations. Describe how the equations might be set up that would allow you to solve with your method easily.