CCSS.Math.Content.HSA.REI.C.6

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

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CCSS.Math.Content.HSA.REI.C.6

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

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CCSS.Math.Content.HSA.REI.C.6

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution
• (1,8)
• (-2,-3)
• (-1,-2)

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CCSS.Math.Content.HSA.REI.C.6

The solution to the system is

• (-2, -8)
• (-8, -2)
• (2, -8)
• No solution

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CCSS.Math.Content.HSA.REI.C.6

Solve the system by elimination.  

4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 
• (−10, −1) 
•  (10, −1) 
•  No solution 

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CCSS.Math.Content.HSA.REI.C.6

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion.  Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

• subtract the two equations from each other
• multiply the second equation by -1 and add the two equations
• multiply first equation by 2, multiply the second equation by 1 then add them
• multiply the first equation by -2 then add the equations together 

Tags

CCSS.Math.Content.HSA.REI.C.6

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)
• (11, 1)
• (1, 11)
• no solution

Tags

CCSS.Math.Content.HSA.REI.C.6

Solve the system.

• (2, -2, 3)
• (2, 1, 4)
• (-2, 2, -3)
• No Solution

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CCSS.Math.Content.HSA.REI.C.6

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Tags

CCSS.Math.Content.HSA.REI.C.6

What is the best method to use?

−4x − 2y = −12

4x + 8y = −24

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form.

Tags

CCSS.Math.Content.HSA.REI.C.6