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

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

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

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

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

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

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

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Identical lines
• Parallel lines

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

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

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

What is the solution of the two linear equations shown?

• (2,2)
• (0,0)
• (1,2)
• None of these

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

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

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

Solve this system of equation

y = 8x + 1

y = 6x + 3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

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

What is the best method to use?

y = −3x + 5

5x − 4y = −3

• Graphing

• Substitution because a variable is defined

• Elimination because the equations are in standard form

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

Which equation is correctly using substitution for the system shown?

y = x + 6

y = -2x − 3

• x + 6 = -2x − 3

• y = x + 6 − 2x − 3

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