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How many solutions does the system have:
12x - 8y = 20
3x - 2y = 5
Which point is a solution to
the following system?
2y – x = - 4
2y – 3x = - 8
A) (- 4, - 1) B) (3, 1) C) (0, - 3) D) (4, 3) E) None
Test Review: Systems of Equations & Inequalities
The Number of solutions
Test Review: Graphing Systems of Equations & Inequalities
1) Writing the system given the graph:
Write the systems of
equations shown.
Write the system of inequalities that produced this graph.
Test Review: Graphing Systems of Equations & Inequalities
2) Graphing the system
to find a solution:
Graph the system
of equations:
𝒙 + 𝒚 = 𝟔
𝒙 − 𝒚 = 𝟒
The first step is always....
y = -x + 6
y = x - 4
The solution is... (5, 1)
Test Review: Systems of Inequalities, Graphing
2 4
2 12
x y
x y
   

 
2
1
m  4b  
1
2
m   6b 
Dashed
Above
Solid Below
2 4x y    2 12x y 
2 2x x 
2 4y x 
x x 
2 12y x  
2 2 2
1
6
2
y x  
Draw the solution to the first line
before starting the next line!!!!!
Test Review: Systems Applications
There are 13 animals in the barn. Some are chickens
and some are pigs. There are a total of 40 legs.
How many of each animal are there?
The sum of three numbers is 14. The largest is 4
times the smallest. The sum of the smallest and two
times the largest is 18. Find the numbers. ( In the
form, (largest, middle, smallest number) ).
Test Review: Solving by Elimination or Substitution
3x – y = 4
x = 4y - 17

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April 6, 2016

  • 1.
  • 2.
  • 3.
  • 4. How many solutions does the system have: 12x - 8y = 20 3x - 2y = 5 Which point is a solution to the following system? 2y – x = - 4 2y – 3x = - 8 A) (- 4, - 1) B) (3, 1) C) (0, - 3) D) (4, 3) E) None Test Review: Systems of Equations & Inequalities The Number of solutions
  • 5. Test Review: Graphing Systems of Equations & Inequalities 1) Writing the system given the graph: Write the systems of equations shown.
  • 6. Write the system of inequalities that produced this graph.
  • 7. Test Review: Graphing Systems of Equations & Inequalities 2) Graphing the system to find a solution: Graph the system of equations: 𝒙 + 𝒚 = 𝟔 𝒙 − 𝒚 = 𝟒 The first step is always.... y = -x + 6 y = x - 4 The solution is... (5, 1)
  • 8. Test Review: Systems of Inequalities, Graphing 2 4 2 12 x y x y        2 1 m  4b   1 2 m   6b  Dashed Above Solid Below 2 4x y    2 12x y  2 2x x  2 4y x  x x  2 12y x   2 2 2 1 6 2 y x   Draw the solution to the first line before starting the next line!!!!!
  • 9. Test Review: Systems Applications There are 13 animals in the barn. Some are chickens and some are pigs. There are a total of 40 legs. How many of each animal are there? The sum of three numbers is 14. The largest is 4 times the smallest. The sum of the smallest and two times the largest is 18. Find the numbers. ( In the form, (largest, middle, smallest number) ).
  • 10. Test Review: Solving by Elimination or Substitution 3x – y = 4 x = 4y - 17