Question

The option which is not a solution of the equation $2x+3y=6$, is

• A. $(3,0)$
• B. $(0,2)$
• C. $(-3,4)$
• D. $(1,1)$

Answer 1

The correct option is D $(1,1)$

Solution of a equation satisfies the equation.
Given equation $2x+3y=6...\left(1\right)$
Let's take option $A$, $x=3,y=0$
LHS $=2\times 3+3\times 0=6=$ RHS
LHS $=$ RHS
Hence, $(3,0)$ is a solution of eq $\left(1\right)$
Option $B$, $x=0,y=2$
LHS $=2\times 0+3\times 2=6=$ RHS
LHS $=$ RHS
Hence, $(0,2)$ is a solution of eq $\left(1\right)$
Option $C$, $x=-3,y=4$
LHS $=2(-3)+3\left(4\right)=6=$ RHS
LHS $=$ RHS
Hence, $(-3,4)$ is a solution of eq $\left(1\right)$
Option $D$, $x=1,y=1$
LHS $=2\times 1+3\times 1=5\ne$ RHS
LHS $\ne$ RHS
Hence, $(1,1)$ is not a solution of eq $\left(1\right)$
Hence option $D$ is answer