Solving Equations That Have No Solution or Infinite Solutions

Which image shows a system of linear equations with infinitely many solutions?

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Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

When solving a system of equations algebraically, which statement results in no solution?

• 4 = 7

• -2 = 2

• -3 = 3

• all of the above

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Select the letters that identify whether each equation has no solution, one solution, or infinitely many solutions. Only 1 letter corresponds to each equation.

• A, E, I

• B, D, G

• B, F, H

• C, D, H

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 

• (0,0)

• infinite solutions 

• (4,0)

Two equations that produce the same line have _____ solution(s).

• no

• one

• infinitely many

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

What is the Solution to this system?

• (2,-2)

• (-2,2)

• All Real Numbers

• No Solution