Question

33x + 12y = 123 ; 12x + 33y =102​

Answer 1

Given:

$33x + 12y = 123$

$12x + 33y = 102$

Let's use elimination method to solve these equations.

let us eliminate X so the l.c.m of coefficients of X is 396

multiply eq:1 with 12 and eq:2 with 33

$12(33x + 12y = 123)$

$33(12x + 33y = 102)$

$396x + 144y = 1476 \: eq(3)$

$396x + 1089 = 3366 \: eq(4)$

from 3 and 4 equations we get

$- 945y = - 1890$

the( - ) gets cancelled so

$945y = 1890$

$y = 1890 \div 945$

$y = 2$

substitute y= 2 in eq 1 we get the X value

Answer 2

X=3 and Y=2

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