Question

37x + 43y = 123
43x +37y = 117

Answer 1

1. Step-by-step explanation:

37x+43y=123 _(1)

43x+37y=117 _(2)

eq. 1

x+y=123 - 37- 43

= 123- 80

40

eq. 2

x+y= 117- 43- 37

= 117- 80

30

x+y=40 (1)

x+y=30 (2)

Answer 2

➢ $\huge\mathfrak{Solution}$

$\bold{\small}\mathcal{37x+43y=123} \\ {43x+37y=117}$

➣$\bold{\small}\mathfrak{Adding\: both\:equations}$

➣$\bold{\small}\mathfrak{we\: Get,}$

$\bold{\small}\mathcal{80x+80y=240}$

➣$\bold{\small}\mathfrak{Taking\: 80\:common}$

$\bold{\small}\mathcal{80(x+y)=240}$

$\rule{120}2$

$\bold{\small}\mathcal{(x+y)=\frac{240}{80}}$

$\bold{\small}\mathcal{(x+y)=\cancel\frac{240}{80}}$

$\huge\mathcal{(x+y)= {3}}$

➣$\bold{\small}\mathfrak{Now\: subtracting\: both\:equations}$

➣$\bold{\small}\mathfrak{We\: will\:get,}$

$\bold{\small}\mathcal{-6x+6y=6}$

$\bold{\small}\mathfrak{Take\:(-6)\:common}$

$\small\mathfrak{Then}$

$\bold{\small}\mathcal{-6(x-y)=6}$

$\bold{\small}\mathcal{(x-y)}=\cancel\frac{6}{-6}{ -1}$

➣$\bold{\small}\mathfrak{now\: adding \: both\:new\:equations}$

$\bold{\small}\mathcal{x+y}={3}$

$\huge\mathcal{x-y}= {-1}$

$\rule{120}2$

$\bold{\huge}\mathcal{2x}=2$

➣$\huge\mathcal{x}= {1}$

$\bold{\small}\mathfrak{putting\: value \: of\:x}$

$\bold{\small}\mathfrak{we\: will\: get,}$

$\bold{\small}\mathcal{1+y}={3}$

$\bold{\small}\mathcal{y}={3-1}$

➣$\huge\mathcal{y}={2}$

➦$\bold{\huge}\mathcal{Hope\: It \: Help\:You}$