Page 32 - 091math-wb-w6-(equations&inequalities-1)

Workbook

NOTE: Let a system of linear equation is given as the follow.

a x b y c   0
1 1 1
a x b y c 2  2  0
2
a b c
1. If 1  1  1 then the lines are parallel and the solution set is empty set.
a b c
2 2 2

a b c
2. If 1  1  1 then the lines are coinciding and the solution set has at infinitely many points.
a b c
2 2 2

a 1 x 4y 14 0    
EXAMPLE 3: If the solution set of the linear equation system is empty set find
(2a 3)x 7y 13 0   

the possible values of a.

kx 2y  5
EXAMPLE 4: If the solution of the linear equation system is the ordered pair  1,3 
2x 3y  t
than find the values of k and t.

EXAMPLE 5: Find the solution sets of the systems.

32 091math-wb-w6-(equations&inequalities-1)