Solution: In 3740, find the slope and y-intercept of each line. Graph the line, labeling

1.1 Systems of Linear Equations Linear equation – equation written in the form “a x +a x +…+a x =b” 1 1 2 2 n n where b & coefficients a ,1,a arn real or complex numbers, usually known in advance System of Linear Equations (linear system) – a collection of one or more linear equations involving the same variables Solution – a list (1 ,2 ,…,n ) of numbers that makes each equation a true statement when the values s …s a1e snbstituted for x x , 1… n respectively Solution set – set of all possible solutions -Equivalent systems have the same solution set A system of linear equations has: 1. No solution (inconsistent system) 2. Exactly one solution (consistent system) 3. Infinitely many solutions (consistent syst