Question

Find the value of $\lambda ,ifx=-\lambda andy=\frac{5}{2}\text{is a solution of the equation}x+4y-7=0.$

Answer 1

$x=-\lambda ,y=\frac{5}{2}$

Equation is x + 4y - 7 = 0

Substituting the value of x and y,

$-\lambda +4\times \frac{5}{2}-7=0$

$\Rightarrow -\lambda +10-7=0$

$\Rightarrow -\lambda +3=0$

$\therefore -\lambda =-3\Rightarrow \lambda =3$

$Hence,\lambda =3$