Question

Is the pair of linear equations 3x-y=40,4x-2y=50 consistent or inconsistent? why?​

Answer 1

Answer:

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Step-by-step explanation:

3x-y=40, 4x-2y=50

a1= 3,b1=  -1, c1= 40

a2= 4, b2= -2 c2= 50

a1/a2,b1/b2,c1/c2

3/4 is not equal to -1/-2 is not equal to 40/50

on simplification

3/4 not equal to 1/2  not equal 4/5

these are intersecting  lines

so these are consistent

consistent means the pair of the equation must have unique solution or   infinitely many  solutions

the above pair is intersecting lines that is the pair has unique solution 1

so it is  consistent