Question

Which of following points lies on the line, $2x+3y=11?$

• A. $x=1,y=3$
• B. $x=0,y=5$
• C. $x=-2,y=-5$
• D. $x=9,y=1$

Answer 1

The correct option is A

$x=1,y=3$

Substituting each set of the values for $x$ and $y$ in the line equation $2x+3y=11$, we have

$\left(i\right)x=1,y=3LHS=(2\times 1)+(3\times 3)=11=RHS\left(ii\right)x=0,y=5LHS=(2\times 0)+(3\times 5)=15\ne RHS\left(iii\right)x=-2,y=-5LHS=(2\times -2)+(3\times -5)=-19\ne RHS\left(iv\right)x=9,y=1LHS=(2\times 9)+(3\times 1)=21\ne RHS$

$\therefore x=1,y=3$ lies on the line $2x+3y=11$.