Question

write a pair of linear equations which has unique solution x=1 and y=-1. also please explain how you got the answer.​

Answer 1

Answer:

$\textcolor{red} {x+y=0} \: \mathrm{and} \: \textcolor {red}{</p><p>x+2y+1=0}$

Step-by-step explanation:

Since we have x=1 and y=-1, we can write:

x-1=y+1=0

Or,

$x-1+y+1=0\\</p><p>\implies x+y=0\\</p><p>\text{We can also write for any m and n, (as x-1=0 and y+1=0)}\\</p><p>n(x-1)+m(y+1)=0\\</p><p>\text{Put n, m=some number. Here, let m be 2 and n be 1.}\\</p><p>1(x-1)+2(y+1)=0\\</p><p>x+2y-1+2=0\\</p><p>x+2y+1=0\\</p><p>$

You have your two equations. Solve simultaneously to get x=1 and y=-1 again.