Question

If $x=1,y=1$ is a solution of the equation $3x+ay=6,$ find the value of ${}^{\prime }{a}^{\prime }.$

Answer 1

Given equation is $3x+ay=6$ and its solution are $x=1$ and $y=1$

We have $3x+ay=6$

on putting the value $x=1$ any $y=1$ in the given equation, we get

$3\times 1+a\times 1=6$

$\Rightarrow 3+a=6$

$\Rightarrow a=6-3$

$\therefore a=3$