Question

If the point (2,-4) lies on the graph of the equation 2y = a x-10, then find the
value of a. Now express this as a linear equation in two variables.​

Answer 1

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\red{Given :-}}}}}$

• $\textsf{Point (2, -4) lies on the graph of the equation 2y = a x - 10}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\orange{To \ Find:- }}}}}$

• $\textsf{Value of a}$

$\:\:\:\dag\:{\underline{\underline{\mathfrak{\blue{Solution:- }}}}}$

$\bigstar\:\:\bf\underline\red{According\: to\: the\: question}$

• $\textsf{x = 2 ; y = -4}$

$\textsf{(Putting x and y value in given equation)}$

$\:\:\::\implies\:\:\sf{2\times(-4) = a \times (2) - 10}$

$\:\:\::\implies\:\:\sf{-8 = 2a - 10}$

$\:\:\::\implies\:\:\sf{-8+10 = 2a}$

$\:\:\::\implies\:\:\sf{\dfrac{\cancel{2}}{\cancel{2}} = a}$

$\:\:\::\implies\:\:{\underline{\boxed{\sf{\purple{a = 1}}}}}$