Q. 114.3( 4 Votes )

Show that the system of equations

6x + 5y = 11, 9x + y = 21

Class 10th RS Aggarwal - Mathematics 3. Linear Equations in Two Variables

Answer :

Given: 6x + 5y = 11 – eq 1

9x + y = 21 ⇒ 18x + 15y = 42 – eq 2

Here,

a₁ = 6, b₁ = 5, c₁ = - 11

a₂ = 18, b₂ = 15, c₂ = - 42

Here,

= =

Here,

= ≠

That is give system of equations are parallel lines, that is they don’t have any solutions.

∴ The system of equations has no solution.

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Show that the system of equations6x + 5y = 11, 9x + y = 21

Show that the system of equations

6x + 5y = 11, 9x + y = 21