Math Systems of Linear Equations

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

• (2, -2)
• (2, 2)
• (-2, 2)
• (-2, -2)

• (-3, 0)
• (0, 3)
• (3, 0)
• (0, -3)

• (-1, -4)
• (-1, -3)
• (-3, -1)
• (-4, -1)

• Infinitely Many Solutions
• No Solution

• Infinitely Many Solutions
• No Solution

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

What is the solution to the equations below ? y = 3x + 2 y = 3x - 5

• a. NO Solution because the slopes are the same and the y-intercepts are different.

• b. ONE Solution because the slopes are the same.

• c. MANY Solutions because the slopes are the same.

• d. No Solution because the y-intercepts are the same.

How many solutions?

y = 2x + 5

-2x + y = 5

• One Solution

• No Solution

• Infinite Solutions

• Negative Solutions

How many solutions?

y = 2x + 5

y = 5x + 1

• One Solution

• No Solution

• Infinite Solutions

• Negative Solutions