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Other than guessing, what could we do?

What happens if we graph a system of equations and the lines intersect, but we can’t tell exactly where they intersect?. Other than guessing, what could we do?. In this lesson you will learn how to solve a system of linear equations by the addition/elimination method. X + 2 = 5. X + 2 = 5.

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Other than guessing, what could we do?

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  1. What happens if we graph a system of equations and the lines intersect, but we can’t tell exactly where they intersect? Other than guessing, what could we do?

  2. In this lesson you will learn how to solve a system of linear equations by the addition/elimination method.

  3. X + 2 = 5 X + 2 = 5 3(X + 2 = 5) 3X + 6 = 15

  4. 3X + 6 = 15 X + 2 = 5 -6 -6 -2 -2 3X = 9 X = 3 3 = 3 X = 3

  5. Determine the solution for the system of equations using the addition/elimination method. x + y = 5 x + y +3x - y = 5 + 7 3x – y =7 4x = 12 4 = 4 x = 3

  6. x = 3 x + y = 5 x + y = 5 3x – y =7 3 + y = 5 -3 =-3 y = 2 The solution is (3,2)

  7. Writing the solution in the form of first number found, second number found, rather than as (x,y)

  8. Check 3x – y = 7 x + y = 5 3*3 – 2 = 7 3 + 2 = 5  7 =7  5 = 5 The solution is (3,2)

  9. Determine the solution for the system of equations the addition/elimination method. x + y = 13 x + y +x – 3y= 5 + 7 x – 3y =7 2x -2y = 12

  10. Determine the solution for the system of equations using the addition/elimination method. x + y = 13 x + y = 13 x + y = 13 x – 3y =7 -1(x – 3y = 7) -x + 3y = -7

  11. x + y = 13 x + y -x + 3y= 13 - 7 -x + 3y = -7 4y = 6 4 = 4 y =

  12. y = x + y = 13 x + y = 13 x + = 13 x – 3y =7 -=- The solution is (, ) x =

  13. Check x – 3y = 7 x + y = 13 – 3* = 7 + = 13 7 =7  13 = 13  The solution is (, )

  14. (, ) The solution is (, )

  15. In this lesson you learned how solve a system of linear equations by the addition/elimination method.

  16. Find the solution for the system of equations -x + y = 5 and x + 2y = 27 using the addition/elimination method.

  17. -x + y = 5 x + 2y = 27

  18. -x + y = 5 x + 2y = 27

  19. Find the solution for the system of equations x + y = -12 and 2x + y = 3 using the addition/elimination method.

  20. x + y = -12 2x + y = 3

  21. x + y = -12 2x + y = 3

  22. What property allows me to add these two equations together x + y =5 and x-y=2? Why?

  23. Find the solution of -3x+y=2 and 4x-y=4 using the addition/elimination method.

  24. Create a system of linear equations that have only one solution. Solve the equations by using the addition/elimination method.

  25. The solution for the system of linear equations x-2y = -9 and x + 3y = 16 is a)(-1, 5) b) (1, -5) c) (1, -5) d) (-1,-5) The solution for the system of linear equations 2x + y = 9 and 3x - y = 16 is a)(5, -1) b) (-5, 1) c) (-5, -1) d) (5,5)

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