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Algebra 1
                                                                                               7.2

Chapter 7: Solving Systems of Linear Equations
Section 2: Solving Linear Systems by Substitution                                  Pg. 405 – 410
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 Use substitution to solve the system Use a graph to check your solution:

       y = x− 3
 1.   
       4 x + y = 32
 a.) Solve an equation for a variable (isolate one variable).


 b.) Substitute the expression for the variable in part “a” into the other equation and solve for
 the other variable.




 c.) Substitute the value of your known variable into the first equation and solve for the other
 variable.




 d.) Write your solution as a coordinate. How can you check the solution?




~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

       x+ y = 9
 2.   
       2x + 5 y = 30
Algebra 1
                                                                      7.2




~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

       3x − y = 0
 3.   
      y= 6




~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

       x + 4 y = 300
 4.   
       x = 2y




~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

       2x + y = − 4
 5.   
       x − 2y = − 7




~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Algebra 1
                           7.2


    2x − y = − 2
6. 
    4x + y = 5

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7.2 notes classwork-hw

  • 1. Algebra 1 7.2 Chapter 7: Solving Systems of Linear Equations Section 2: Solving Linear Systems by Substitution Pg. 405 – 410 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Use substitution to solve the system Use a graph to check your solution:  y = x− 3 1.   4 x + y = 32 a.) Solve an equation for a variable (isolate one variable). b.) Substitute the expression for the variable in part “a” into the other equation and solve for the other variable. c.) Substitute the value of your known variable into the first equation and solve for the other variable. d.) Write your solution as a coordinate. How can you check the solution? ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  x+ y = 9 2.   2x + 5 y = 30
  • 2. Algebra 1 7.2 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  3x − y = 0 3.  y= 6 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  x + 4 y = 300 4.   x = 2y ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  2x + y = − 4 5.   x − 2y = − 7 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  • 3. Algebra 1 7.2  2x − y = − 2 6.   4x + y = 5