Systems of equations Systems of equations Problem solving

Systems of equations

Systems of equations Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? 3 ways to solve: • Graph + check • Substitution • combinations

Systems of equations Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? 3 ways to solve: • Graph + check • Substitution • combinations A. Two or more linear equations in the same variable form a system of linear equations.

Systems of equations Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? 3 ways to solve: • Graph + check • Substitution • combinations A. Two or more linear equations in the same variable form a system of linear equations. B. A solution of a linear system in two variables is a pair of numbers a and b for which x = a and y = b make each equation a true statement. Usually written in the form of an ordered pair (a , b).

Systems of equations Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? 3 ways to solve: • Graph + check • Substitution • combinations A. Two or more linear equations in the same variable form a system of linear equations. B. A solution of a linear system in two variables is a pair of numbers a and b for which x = a and y = b make each equation a true statement. Usually written in the form of an ordered pair (a , b). C. The point (a, b) that lies on the graph of each equation is called the point of intersection of the graphs.

Graph+check; substitution; combinations Which method is the best for these systems? A Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? 3 x + 2 y = 4 -x + 3 y = -5

Graph+check; substitution; combinations Which method is the best for these systems? Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? A 3 x + 2 y = 4 -x + 3 y = -5 B 3 x – 4 y = -5 -5 x + 4 y = 3

Graph+check; substitution; combinations Which method is the best for these systems? Problem solving! 1. What is the question? 2. What do I know? 3. What do I need to find out? A 3 x + 2 y = 4 -x + 3 y = -5 B 3 x – 4 y = -5 -5 x + 4 y = 3 C -4 x + 2 y = 6 y = 12 x