Finding Solutions to Equations and Inequalities

a system of equations that has at least one solution

• consistent system

• dependent system

• inconsistent system

eliminate one of the variables in a system of equations by adding or subtracting the equations

• elimination method

• substitution method

• linear programming

A system of equations that has exactly one solution

• independent system

• dependent system

• consistent system

the coordinates of a point in space OR the solution to a system of equations in three variables x, y, and z

• ordered triple

• vertex

• linear programming

SOLVE FOR X

(only type the solution, do not type x=)

- 3(3x + 1) + 4x = - 4 - 2x

Mathematical Equivalence

ON

Solve the equation shown.

Show the work you do in finding your final answer on the paper provided.

Mathematical Equivalence

ON

Answer explanation

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

a set of inequalities with the same variables

• system of inequalities

• system of equations

• inconsistent system

a consistent system of equations that has an infinite number of solutions

• dependent system

• independent system

• system of equations