For the pair of equations λ x + 3y = – 7, 2x – 6y = 14 to have infinitely manysolutions, find the value of λ

Question

For the pair of equations λ x + 3y = – 7, 2x – 6y = 14 to have infinitely manysolutions, find the value of λ
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Solution 1

Para que el sistema de ecuaciones tenga infinitas soluciones, las dos ecuaciones deben ser proporcionales. Esto significa que los coeficientes de (x), (y) y los términos constantes deben ser proporcionales entre sí.

Dadas las ecuaciones:

[ \lambda x + 3y = -7 ] [ 2x - 6y = 14 ]

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