Question

Find the equation of a line passing through the point of intersection of 3x-y +5=0 and 2x+y-15 =0 and the origin .

Answer 1

$3x-y+5=02x+y-15=0$

Solving these two equations simultaneously

$x=2y=11$

Point $1=(2,11)$

Point $2=(0,0)$ (origin)

Equation of line passing through $1\&2$

$y=mx+c$

Here passes through $(0,0)$

$0=0+cc=0y=mx11=m\times 2m=\frac{11}{2}y=\frac{11}{2}x2y-11x=0$