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By looking at a graph, name the three types of solutions that you can have in a system of equations. Groupwork graded Groupwork worksheet 1-14 Work on.

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Presentation on theme: "By looking at a graph, name the three types of solutions that you can have in a system of equations. Groupwork graded Groupwork worksheet 1-14 Work on."— Presentation transcript:

1 By looking at a graph, name the three types of solutions that you can have in a system of equations. Groupwork graded Groupwork worksheet 1-14 Work on this while I check the homework

2  Let’s get practice using the equations from the homework and using the graphing calculator Directions: Y = Graph 2 nd, CALC, 5, ENTER, ENTER, ENTER Write down the ordered pair

3  Warm up Warm up

4 Chapter 3 Section 2

5  1.) Multiply one or both equations to make the coefficients of one of the variables to be the same (one positive, one negative)  2.) Add the 2 equations by combining the like terms. (one of the variables will be eliminated)  3.) Solve for the remaining variable  4.) Substitute the answer you found in step 3 into one of the original equations to find the other variable

6 1.) x +y = 3 2x -3y = 1

7 2.) 2x – 4y = 13 4x – 5 y = 8

8  3.) 3x – y = 13 2x + 2y = -10

9  Practice Practice  Graphing Calculator Graphing Calculator

10 4.) 7x – 12y = -22 -5x + 8y = 14

11 5.) 9x – 5y = - 7 -6x +4y = 2

12 6.) x – 2y = 3 2x – 4y = 7

13  Whiteboards practice!!!!

14

15 1.) Solve one of the equations for one of its variables. 2.) Substitute the expression from Step 1 into the other equation for the appropriate variable (Hint: you should now have only 1 variable) 3.) Solve the equation for the variable remaining 4.) Substitute the answer you found in step 3 into one of the original equations to find the other variable

16 1.) 3x + 4y = -4 x + 2y = 2

17 2.) 3x – y = 13 2x + 2y = -10

18 3.) -x + 3y = 1 4x + 6y = 8

19 Pg 152 # 4-6 Pg 152-153 # 11-16, 38-40


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