Show that the system of equations 2x – 3y = 5, 6x – 9y = 15

Question

Philoid · Accepted Answer

Given: 2x – 3y = 5 – eq 1

6x – 9y = 15 – eq 2

Here,

a₁ = 2, b₁ = - 3, c₁ = 5

a₂ = 6, b₂ = - 9, c₂ = 15

Here,

= =

Here,

= =

∴ The given system of equations has infinite number of solutions.

Show that the system of equations2x – 3y = 5, 6x – 9y = 15