Question

Write two solutions of the form $x=0,y=a$ and $x=b,y=0$ for each of the following equations :
i) $5x-2y=10$
ii) $-4x+3y=12$
iii) $2x+3y=24$

Answer 1

(i) $5x-2y=10$

$\begin{array}{c}ifx=0\\ 5\left(0\right)-2\left(y\right)=10\\ \Rightarrow y=-5\end{array}|\begin{array}{c}ify=0\\ 5\left(x\right)-2\left(0\right)=10\\ 5x=10\Rightarrow x=2\end{array}$

$\therefore$ The two solutions are $(0,-5)$ and $(2,0)$

(ii) $-4x+3y=24$

$\begin{array}{c}ifx=0\\ 3y=12\Rightarrow y=4\end{array}|\begin{array}{c}ify=0\\ -4x=12\Rightarrow x=-3\end{array}$

$\therefore$ The two solution are $(0,4)$ and $(-3,0)$

(iii) $2x+3y=24$

$\begin{array}{c}ifx=0\\ 3y=24\Rightarrow y=8\end{array}|\begin{array}{c}ify=0\\ 2x=24\Rightarrow x=12\end{array}$

$\therefore$ The two solution are $(0,8)$ and $(12,0)$