Find the equation of straight line making nonzero equal intercepts on the coordinate axes passing through the point of intersection of lines $2\mathrm{x}-5\mathrm{y}+1=0\text{ and }\mathrm{x}-3\mathrm{y}-4=0$

The point of intersection of 2x – 5y +1 = 0 and x – 3y – 4 = 0 is (–23, –9)
The equation of st.line making non – zero equal intercepts on the coordinate axes is
$\frac{\mathrm{x}}{\mathrm{a}}+\frac{\mathrm{y}}{\mathrm{a}}=1\Rightarrow \mathrm{x}+\mathrm{y}=\mathrm{a} ...\left(1\right)$
(1) Passing through  the point (–23, –9)
$-23-9=\mathrm{a}\Rightarrow \mathrm{a}=-32$
$\therefore \text{ eq'n of st.line }\mathrm{x}+\mathrm{y}=-32\Rightarrow \mathrm{x}+\mathrm{y}+32=0$