Show that the system of equations $2 x - 3 y = 5, 6 x - 9 y = 15$ has an infinite number of solutions.

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Solution

2x – 3y – 5 = 0 -----(1)

6x – 9y – 15 = 0 -----(2)

a₁= 2, b₁ = -3, c₁= -5

a₂ = 6, b₂ = -9, c₂= -15

Thus,

Hence, the given system of equations has infinitely many solutions.

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