Finding Solutions for Linear Inequality Systems of Equations

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Determine whether each ordered pair is a solution or not a solution to this system of inequalities.

• Not a solution

• (4, -5)

• Not a solution

• (2,-2)

• Solution

• (0,0)

• Not a solution

• (5,6)

• Solution

• (2,3)

• (1,3)

• (2,1)

• (3,4)

• (6,2)

• Yes, it is a solution.

• No, it is not a solution.

Determine whether each ordered pair is a solution or not a solution to this system of inequalities.

y≥−x ​

2x+y>2

• Not a solution

• (4, -5)

• Solution

• (2,-2)

• Not a solution

• (2,3)

• Not a solution

• (0,0)

• Solution

• (5,6)

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Is (0,0) a solution to the system?

• Solution

• Not a solution

Is (0,0) a solution to the system?

• Solution

• Not a solution

• 
• 
• 
• 
• 

The number or numbers that when substituted into an equation or inequality make the equation or inequality true. For example, x = 4 is a solution to the equation 3x – 2 = 10 because 3x – 2 equals 10 when x = 4. A ________ to a two-variable equation is sometimes written as an ordered pair (x, y).

• Point of Intersection

• Substitution Method

• Solution

• Coincide