Determine Whether System Is Inconsistent Independent or Dependent

Use the graph above to determine whether the system is consistent or inconsistent and if it is independent or dependent.

y= -x +1 and y=2x-4

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OFF

The table shows the time Malorie spent jogging and walking this weekend and the total distance she covered each day. Malorie always jogs at the same rate and always walks at the same rate. Write a system of equations to represent this situation. Solve the system using elimination and interpret the solution.

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OFF

Describe the system

2x + 4y = 5

4x - 8 = 7y

• consistent and independent

• consistent and dependent

• inconsistent and independent

• inconsistent and dependent

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Janie found her solution for a system of equations to be (-5, 8). Describe the system.

• Inconsistent

• Consistent and Independent

• Consistent and Dependent

Joseph graphed a system and found that the lines were parallel. Describe the system.

• Consistent and Dependent

• Consistent and Independent

• Inconsistent

Kayla graphed a system of equations and saw only one line. Describe the system.

• Consistent and Dependent

• Consistent and Independent

• Inconsistent

Describe the system

2x = 6 - 2y

3x + 3y = 9

• consistent and independent

• inconsistent and independent

• consistent and dependent

• inconsistent and dependent

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)