System of Equations by Graphing & Elimination

• One Solution

• No Solution

• Infinitely Many Solutions

• Cannot tell without graphing

Which system of linear equations has no solution?

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Which system of equations has one solution?

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A system of equations with infinitely many solutions will have lines that...

• are the same

• are parallel and never touch

• cross in one place

What is the solution to the following system of equations?

• (0,3)

• (-3, 1)

• (1, 3)

• Infinitely Many Solutions

• No Solution

What is the solutions to the following system of equations?

• (0,3)

• (0,0)

• (-3,0)

• Infinity Many Solutions

• No Solution

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution