Question

Determine which ordered pair is a solution of y=2x -3.

Answer 1

$\textbf{Given equation is y=2x-3}$

$\textbf{To find: solution of the equation}$

$\text{Here, No.of equations < No.of variables}$

$\text{Take, x=k}$

$\text{Then, y=2k-3}$

$\text{when k=1, x=1, y=-1}$

$\text{when k=2, x=2, y=1}$

$\text{when k=3, x=3, y=3}$

.

.

$\implies\text{The given equation has infinitely many solution}$

$\text{for every real value of k}$

$\therefore\textbf{The solution is}$

$\textbf{(x,y)=(k,2k-3)}\;\;k{\in}R$