Show that the system of equations
6x + 5y = 11, 9x + 
y = 21
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.
11