12x-3y -5=0
6x-1.5y-4=0
find the pair of graph
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we can find the pair of graph by comparing coefficients
a1=12(coefficient of x) , b1= -3(coefficient of y) , c1= -5(constant)
a2=6 , b2=1.5 , c2=-4
to find the type of solution we should compare the ratios of the variables (a1,a2,c1...)
if a1 is not equal to b1 then it's unique
a2. b2
if a1 = b1 not equal to c1. it's no solution
a2. b2. c2
if a1 = b1 = c1. it's cosistent (infinite)
a2. b2. c2
the graph will be acording to the ratio
unique solution = intersecting
infinite solutions = coincident
no solution = parallel
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