Solving Systems by Graphing and Substitution

What are systems of linear equations?

• a set of two or more linear equations in the same variables
• a polynomial with three terms
• set of two or more linear inequalities in the same variables

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CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.5

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

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CCSS.HSA.REI.C.6

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

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CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

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CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

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CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

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CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

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.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

Solve the following system of equations by graphing:

• (4, -4)

• (-4, 4)

• no solutions

• (0, 0)

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CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

Solve the following system of equations by graphing:

• Infinite solutions

• (2, -2)

• (1, 0)

• (3, -4)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10