Systems of Linear Eqn and Inequalities

Identify the equations for the two lines and the solution (if one exists).

• y=5x+1 and y=-5x-3/2 (-4,1)

• y=x+5 and y=-3/2x-5 (1,-4)

• y=x+5 and y=-3/2x-5 (-4,1)

• y=5x+1 and y=-5x-3/2. (1,-4)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Solve the system of equations.

• (3, -24)

• (0, 4)

• (-24, 3)

• No solution

• Infinite solutions

Solve by elimination

-6x + 5y = 1

6x + 4y = -10

• (-1,7/5)

• (0,-1)

• (1,1)

• (-1,-1)

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2