Question

The point (7,3) falls on which of the following lines?

• A. $11y+2x=132$
• B. $x+3y=16$
• C. $3y+2x=25$
• D. $2x+7y=92$

Answer 1

The correct option is B $x+3y=16$

In the equation $x+3y=16$ if we substitute
$x=7andy=3$ we get

$LHS=\left(7\right)+3\left(3\right)$

$\Rightarrow LHS=7+9=16$

$\Rightarrow LHS=RHS$

$\Rightarrow$ The point (7,0) satisfies the equation $x+3y=16$.

Hence, the point (7,0) lies on the line $x+3y=16$.