Question

Write an equation of a line passing through the point representing the solution of the pair of linear equations $x+y=2and2x-y=1$. How many such lines can we find?

Answer 1

Given pair of eq

$x+y=2$ and $2x-y=1$

on solving both eq

$x=1,y=1$

Line passes through Point P$(1,1)$

Hence eq of line through P be

$(y-1)=m(x-1)$

or,

$y=mx+(1-m)$

Hence no of lines could be infinite