Question

For the equation 6x − 5y = 8, verify that
(i) (3, 2) is a solution
(ii) (2, 3) is not a solution

Answer 1

Given equation: $6x-5y=8$

(i) $(3,2)$ is a solution.
Putting $x=3,y=2$ in the equation, we get:
$LHS=6\times 3-5\times 2=18-10=8=RHS$.
Hence, $(3,2)$ is a solution of the given equation.

(ii) $(2,3)$ is not a solution.
Putting $x=2,y=3$ in the equation, we get:
$LHS=6\times 2-5\times 3=12-15=-3$ ≠ $RHS$.
Hence, $(2,3)$ is not a solution of the given equation.