System of Equations

System of Equations

Open Ended

Describe one thing that you enjoyed doing this past weekend.

System of Equations

Multiple Choice

What is the solution to the system of equations.

• (-4,-1)

• (4,-1)

• (-4,1)

• (-1,-4)

Multiple Choice

What is the solution to the system of equations.

• (-1,3)

• (3,1)

• (2,1)

• (2,-1)

Is the point a solution?

Multiple Choice

Is (5,2) a solution to the following system?

• (5,2) is only a solution to equation 1

• (5,2) is only a solution to equation 2

• (5,2) is a solution to both equations

• (5,2) is not a solution to either equation

Multiple Choice

Is (-1,-4) a solution to the following system?

• (-1,-4) is only a solution to equation 1

• (-1,-4) is only a solution to equation 2

• (-1,-4) is a solution to both equations

• (-1,-4) is not a solution to either equation

Multiple Choice

Is (-3,-4) a solution to the following system?

• (-3,-4) is only a solution to equation 1

• (-3,-4) is only a solution to equation 2

• (-3,-4) is a solution to both equations

• (-3,-4) is not a solution to either equation

System of Equations

Open Ended

Add the two equations.

 $-3x-5y=22$  

 $-x+5y=-26$  

System of Equations

Open Ended

Add the two equations. 

 $4x-10y=8$  

 $-4x-8y=28$  

System of Equations

Open Ended

Subtract the equations.

 $6x+5y=-23$  
 $6x+4y=-16$  

System of Equations

Open Ended

Subtract the equations.

 $-3x-9y=3$  

 $-3x-6y=9$  

Subtract the equations.

Open Ended

How can we use multiplication to adjust one the equations in order to help us eliminate one of the variables?

 $-14x+6y=-18$  

 $-7x+9y=-27$  

Example answer: "..Multiply the first equation by 3"

Subtract the equations.

Open Ended

How can we use multiplication to adjust one the equations in order to help us eliminate one of the variables?

 $5x+10y=20$  

 $-10x+y=2$  

Example answer: "..Multiply the first equation by 3"

Subtract the equations.

Open Ended

How can we use multiplication to adjust one the equations in order to help us eliminate one of the variables?

 $4x-y=2$  

 $3x+2y=29$  

Example answer: "..Multiply the first equation by 3"

Subtract the equations.

Open Ended

How can we use multiplication to adjust one the equations in order to help us eliminate one of the variables?

 $6x+10y=-28$  

 $2x-5y=24$  

Example answer: "..Multiply the first equation by 3"

System of Equations

Open Ended

Step 1: Eliminate one the variables.
Step 2: Solve.

 $9x-10y=23$ 

  $2x-5y=19$  

System of Equations

Open Ended

Step 1: Eliminate one the variables.
Step 2: Solve.

 $5x+10y=20$ 

  $-10x+y=2$  

System of Equations

Open Ended

Step 1: Eliminate one the variables.
Step 2: Solve.

 $6x+10y=-28$ 

  $2x-5y=24$  

System of Equations

Open Ended

Use multiplication to change both equations. Type both of your equations after using multiplication to change them.

System of Equations