If 29x + 37y = 103 and 37x + 29y = 95 then : - Vidyadip

MCQ

If $29x + 37y = 103$ and $37x + 29y = 95$ then :

✓
$x = 1, y = 2$
B
$x = 2, y = 1$
C
$x = 2, y = 3$
D
$x = 3, y = 2$

✓

Answer

Correct option: A.

$x = 1, y = 2$

$29x + 37y = 103 ...... (i)$
$37x + 29y = 95 ...... (ii)$
Adding $(i)$ and $(ii),$
we get $66 (x + y) = 198$
$\Rightarrow x + y = 3.$
Subtracting $(ii)$ from $(i),$
we get $8 (y - x) = 8$
$\Rightarrow y - x = 1.$
Solve above equations we get
$x = 1, y = 2.$

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