Systems of equations.

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Presentation transcript:

Systems of equations

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

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

Systems of equations 3 ways to solve: Graph + check Substitution combinations Problem solving! What is the question? What do I know? What do I need to find out? Two or more linear equations in the same variable form a system of linear equations. 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 3 ways to solve: Graph + check Substitution combinations Problem solving! What is the question? What do I know? What do I need to find out? Two or more linear equations in the same variable form a system of linear equations. 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). 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? 3x + 2y = 4 -x + 3y = -5 A Problem solving! What is the question? What do I know? What do I need to find out?

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

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