1. Chapter 7
Linear Systems
•A system of equations is a set of two or more equations
that use the same variables.
2 x − y + z = 4
 A brace is y = x + 3
 x + 3 y − z = 11 used to keep 
4 x + y − z = 14

 y = −2 x + 3
the
equations of
a system
together.
•If the graph of each equation in a system of two variables
is a line then the system is a linear system.

2. Chapter 7
Linear Systems
They can Coinciding Parallel lines
intersect. lines, the same
line.
One solution Infinite solution No solution.
Consistent Consistent Inconsistent
Independent Dependent