Constraints System of Linear Equations

Part of the coordinate plane in which the ordered pairs are solutions to all inequalities in the system

• Solution Region

• Graph

• Quadrant

• Half Plane

conditions given to variables, often expressed as linear inequalities

• constraints

• elimination method

• vertex

the intersection of the graphs in a system of constraints

• feasible region

• bounded region

• unbounded region

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

What is the value of z in the solution of the system?

Mathematical Equivalence

ON

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

a method of solving a system of equations in which one equation is solved for one variable in terms of the other

• substitution method

• elimination method

• replacement method

a set of equations with the same variables

• system of equations

• system of inqualities

• consistent system