2.  Variable with coefficient of one Solve for variable, and substitute  Two equations with opposite coefficients for one variable Add the two equations to eliminate a variable  Two equations with same coefficient for one variable Add the inverse of one equation to eliminate a variable

3.  In a system of equations, when the same variable in different equations has the same value for a coefficient, how is it solved? Elimination Method  If two equations have variables with the same value and different signs, how is elimination completed? Reverse the signs on one of the equations then add both equations

4.  Solving method for systems of equations when one variable is substituted in for another variable Substitution Method  When the substitution method can be used When a single variable can be solved, that is it has a coefficient of one

5.  Two equations relating to the same variables System of Equations  System of Equations with parallel lines No Solution  System of Equations that are the same line Infinite Solutions  System of Equations that cross at one point That point is the solution to the system

6.  Solved equations that result in a true statement with the variables eliminated Infinite Solutions / All Real Numbers  Solved equations that result in a false statement with the variables eliminated No Solution

8.  What to do if no coefficients are one and none have the same or inverse coefficients  Multiply one or both equations until elimination with addition and subtraction can be used

10.  Solve

16.  Work in groups of 3 or 4  Get your supplies  Three paper clips  Some pennies  Blank sheet of paper  Grade given for EACH person at end of class  EACH person must complete the equations

21. Solve for C and P Check your solution in the original equations

22. Is there any other way to solve this? What are the real world meanings of the solution

23.  Solve

34.  If a system of equations does not have any variables with a coefficient of one, or with the same value then to solve we must use what method Elimination with Multiplication  What is the goal in Elimination with Multiplication For two variables to have the same value coefficient but with different signs, then add the equations together

35.  7-4 two pages  Even problems