Question

Find if the following points lie on the given line or not:

$(1,3)$ on the line $2x+3y=11$

Answer 1

Yes

Step: Put $(1,3)$ in the equation of line​

Given: Point: $(1,3)$; Lines: $2x+3y=11$

Put $x=1$ and $y=3$ in the given line equation,

$L.H.S.$
$=2x+3y$

$=2\left(1\right)+3\left(3\right)$

$=2+9$

$=11$


$R.H.S.=11$

$\therefore L.H.S=R.H.S.$

Hence the point $(1,3)$ lie on the line $2x+3y=11$