Find the number of solutions of the follow ing pair of linear equations :
x + 2y - 8 = 0
2x + 4y = 16

The given pair of linear equations can be written as
x + 2y - 8 = 0
and 2x + 4y - 16 = 0

$Here comma space space straight a subscript 1 over straight a subscript 2 equals 1 half comma space straight b subscript 1 over straight b subscript 2 equals 2 over 4 equals 1 half space and space straight c subscript 1 over straight c subscript 2 equals fraction numerator negative 8 over denominator negative 16 end fraction equals 1 half therefore space space straight a subscript 1 over straight a subscript 2 equals space straight b subscript 1 over straight b subscript 2 equals straight c subscript 1 over straight c subscript 2$
∴ There are infinitely many solutions.

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Pair of Linear Equations in Two Variables

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Find the number of solutions of the follow ing pair of linear equations :x + 2y - 8 = 02x + 4y = 16

Pair of Linear Equations in Two Variables

Mathematics

Find the number of solutions of the follow ing pair of linear equations :
x + 2y - 8 = 0
2x + 4y = 16