5.4 Solve Special Systems

1

Would you rather live in a big city or a small town?_______ 
Would you rather have six months of spring or six months of summer? _______ 

Solving Special Systems
Objectives:
I can determine the number of solutions of a system.
I can solve a system of linear equations with any number of solutions.

1

Solve the system by graphing to find the solution.

1

Solve the system by graphing to find the solution.

Hint: Rearrange each equation into slope-intercept form (y=mx+b), then graph.

1

Solve the System of Equations.

You may choose to solve the system by graphing, algebraically with substitution or elimination.
*Be prepared to explain why you chose your method.
What is the solution to this system?

1

Solve the system. Explain your choice of method.

1

Solve the system. Explain your choice of method.

1

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"
If Infinite solutions, write "Infinitely many solutions"
If it has one solution, Write the solution as an ordered pair (x, y)

1

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"
If Infinite solutions, write "Infinitely many solutions"
If it has one solution, Write the solution as an ordered pair (x, y)

1

Create a system of equations that has infinitely many solutions.

1

Create a system of equations that has no solution.

5

Use only the slopes and y-intercepts of the graphs of the equations to determine the number of solutions of the system. 


Equation #1:
Slope: _______ 
Y-intercept: _______ 

Equation #2:
Slope: _______ 
Y-intercept: _______ 

Solution to the system: _______ 

Finished with all greens?
Tonight's HW
Go to Khan Academy and complete exercise "Number of solutions to a system of equations graphically"

5.4 Solve Special Systems

Solving Special Systems

Solve the system by graphing to find the solution.

Solve the system by graphing to find the solution.Hint: Rearrange each equation into slope-intercept form (y=mx+b), then graph.

Solve the System of Equations.You may choose to solve the system by graphing, algebraically with substitution or elimination.*Be prepared to explain why you chose your method.What is the solution to this system?

Solve the system. Explain your choice of method.

Solve the system. Explain your choice of method.

Solve the system of linear equations, Check your solution.If no solution, write "no solution"If Infinite solutions, write "Infinitely many solutions"If it has one solution, Write the solution as an ordered pair (x, y)

Solve the system of linear equations, Check your solution.If no solution, write "no solution"If Infinite solutions, write "Infinitely many solutions"If it has one solution, Write the solution as an ordered pair (x, y)

Create a system of equations that has infinitely many solutions.

Create a system of equations that has no solution.

Finished with all greens?

Tonight's HW

Go to Khan Academy and complete exercise "Number of solutions to a system of equations graphically"

Solving Special Systems

Solve the system by graphing to find the solution.

Solve the system by graphing to find the solution.Hint: Rearrange each equation into slope-intercept form (y=mx+b), then graph.

Solve the System of Equations.You may choose to solve the system by graphing, algebraically with substitution or elimination.*Be prepared to explain why you chose your method.What is the solution to this system?

Solve the system. Explain your choice of method.

Solve the system. Explain your choice of method.

Solve the system of linear equations, Check your solution.If no solution, write "no solution"If Infinite solutions, write "Infinitely many solutions"If it has one solution, Write the solution as an ordered pair (x, y)

Solve the system of linear equations, Check your solution.If no solution, write "no solution"If Infinite solutions, write "Infinitely many solutions"If it has one solution, Write the solution as an ordered pair (x, y)

Create a system of equations that has infinitely many solutions.

Create a system of equations that has no solution.

Finished with all greens?

Tonight's HW

Go to Khan Academy and complete exercise "Number of solutions to a system of equations graphically"

Solve the system by graphing to find the solution.

Hint: Rearrange each equation into slope-intercept form (y=mx+b), then graph.

Solve the System of Equations.

You may choose to solve the system by graphing, algebraically with substitution or elimination.
*Be prepared to explain why you chose your method.
What is the solution to this system?

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"
If Infinite solutions, write "Infinitely many solutions"
If it has one solution, Write the solution as an ordered pair (x, y)

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"
If Infinite solutions, write "Infinitely many solutions"
If it has one solution, Write the solution as an ordered pair (x, y)

Solve the system by graphing to find the solution.

Hint: Rearrange each equation into slope-intercept form (y=mx+b), then graph.

Solve the System of Equations.

You may choose to solve the system by graphing, algebraically with substitution or elimination.
*Be prepared to explain why you chose your method.
What is the solution to this system?

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"
If Infinite solutions, write "Infinitely many solutions"
If it has one solution, Write the solution as an ordered pair (x, y)

Solve the system of linear equations, Check your solution.

If no solution, write "no solution"
If Infinite solutions, write "Infinitely many solutions"
If it has one solution, Write the solution as an ordered pair (x, y)