Question

one of the solution of ax+by=2 is​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{ax+by=2}$

$\underline{\textsf{To find:}}$

$\textsf{One of the solution of the given linear equation}$

$\underline{\textsf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{ax+by=2}$

$\textsf{First we assign a value for one of the variable}$

$\textsf{Take, x=k}$

$\mathsf{ak+by=2}$

$\mathsf{by=2-ak}$

$\mathsf{y=\dfrac{2-ak}{b}}$

$\textsf{Then, the solution is}$

$\mathsf{(x,y)=(k,\dfrac{2-ak}{b}),\;\;k\;{\in}\;R}$

$\textsf{Put k=1}$

$\textsf{One of the solution is}$

$\mathsf{(x,y)=(1,\dfrac{2-a}{b})}$

$\underline{\textsf{Answer:}}$

$\textsf{One of the solution of the given equation is}$

$\mathsf{(x,y)=(1,\dfrac{2-a}{b})}$