10.1 Systems of Linear Equations in 2 Variables

System of equations

A set of equations that involve the same variables

System of linear equations

A system of equations in which each equation is linear

Solution

A(n) _______ of a system is an assignment of values for the variables that make each equation in the system true

Solve

To _______ a system of equations means to find all solutions of the system

Substitution method

To solve a system using the ____________, we start with one equation in the system and solve for one variable in terms of the other variable

Elimination method

To solve a system using the __________, we try to combine the equation using sums or differences so as to eliminate one of the variables

Graphical method

In the _________, we use a graphing device to solve the system

Inconsistent

A system with no solution

Dependent

A system with infinitely many solutions