Question

x+3y=25, write y in terms of x and also find the two solutions of this equation

Answer 1

$\large\underline{\sf{Solution-}}$

Given expression is

$\rm \: x + 3y = 25$

$\rm \: 3y = 25 - x$

$\rm\implies \:y = \dfrac{25 - x}{3}$

❶ Substituting 'x = 1' in the given equation, we get

$\rm \: \:y = \dfrac{25 - 1}{3}$

$\rm \: \:y = \dfrac{24}{3}$

$\rm\implies \:y = 8$

❷ Substituting 'x = 4' in the given equation, we get

$\rm \: \:y = \dfrac{25 - 4}{3}$

$\rm \: \:y = \dfrac{21}{3}$

$\rm\implies \:y = 7$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 1 & \sf 8 \\ \\ \sf 4 & \sf 7 \end{array}} \\ \end{gathered}$