Question

If x + ty = 1 and tx - y = 1 then what is the relation between x and y ? step by step explanation please..​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\tt{x+t\,y=1}\\\tt{t\,x-y=1}$

From 1st equation, we have,

$\sf{t=\dfrac{1-x}{y}}$

Put the value of t in 2nd equation,

$\sf{\bigg(\dfrac{1-x}{y}\bigg)\,x-y=1}$

$\sf{\implies(1-x)\,x-y^2=y}$

$\sf{\implies\,x-x^2-y^2=y}$

$\sf{\implies\,x^2+y^2-x+y=0}$