Systems of Equations and Inequalities Advanced Math Chapter 9.

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Presentation transcript:

Systems of Equations and Inequalities Advanced Math Chapter 9

Linear and Nonlinear Systems of Equations Advanced Math 9.1

3 System of equations Two or more equations in two or more variables. We must find the values of the variables that make all the equations true – the solution.

Advanced Math 9.14 Substitution Method 1.Solve one of the equations for one variable in terms of the other. 2.Substitute in the other equation to get and equation in one variable. 3.Solve the equation. 4.Back-substitute to find the other variable. 5.Check your solution.

Advanced Math 9.15 Examples Solve each system of equations.

Advanced Math 9.16 Solving graphically Can help find out how many solutions there are – how many times graphs cross Can approximate solutions –You still need to check answers to find exact ones unless it says approximate to a certain number of decimal places. Note: calculators only graph y=, so must get it into that form first.

Advanced Math 9.17 Example Solve the system graphically. Round your answers to the nearest hundredth.