Question

if 5 x+4y=13 and 4x+5y=14 find the value of (x-y)​

Answer 1

$\begin{gathered}\begin{gathered}\bf \: To\: find\:-\begin{cases} &\sf{value \: of \: x \: - \: y}  \end{cases}\end{gathered}\end{gathered}$

$\large\underline\purple{\bold{Solution :- }}$

Given Equations are

$\rm :\implies\:5x \: + 4y \: = \: 13 \: - - - (1)$

and

$\rm :\implies\:4x \: + \: 5y \: = \:14 - - - (2)$

On Subtracting equation (2) from equation (1) we get

$\rm :\implies\:5x + 4y - (4x + 5y) = 13 - 14$

$\rm :\implies\:5x + 4y - 4x - 5y = - 1$

$\rm :\implies\:(5x - 4x) + (4y - 5y) = - 1$

$\rm :\implies\:x \: - \: y \: = \: - 1$