Solving systems of equations by Substitution

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many Solutions?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The ordered pair that satisfies BOTH equations in the system is called the _____________________

• system of equations
• function
• graph
• solution 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

y=x+2

3y + x =14

What would you write for a substituted equation?

• 3y +( x +2 ) = 14

• 3x + 2 + x = 14

• 3(x +2) +x = 14

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.B.3

How would you best write the substituted equation?

y = 4x

5y - 2x = 18

• 5(4x) - 2x = 18

• 54x-2x=18

• 5y - 2(4x) = 18

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.SSE.B.3

What would you best write for a substituted equation?

3x - y = 8

y = 2x + 4

• 3x - 2x + 4 = 8

• 3x - (2x +4) = 8

• 3(2x+4) - y = 8

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6