Question

 Examine the following system of equations are consistent or inconsistent 

           ax – 2by = a  ;  bx + 2ay = b where a,b ≠ 0

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Answer 1

ax – 2by = a  ;  bx + 2ay = b where a,b ≠ 0

a/b≠ -2b/2a ≠b/a

a/b≠ -b/a≠b/a

hence,

given system of equations are consistent

these system of equations forms "intersecting lines"

it has only "one solution"