systems of equations

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

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

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions