Solve the following pair of equations. $35 x - 37 y = 68; 35 y - 37 x + 76 = 0$

x = 2, y = 1

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x = 3, y = 1

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x = 6, y = 1

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x = 1, y = 1

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Solution

The correct option is A $x = 3, y = 1$
Rewriting the given equations, we get
$35 x - 37 y = 68$ ...(i)
$- 37 x + 35 y = - 76 \Rightarrow 37 x - 35 y = 76$ ...(ii)
On adding (i) and (ii) , we get
$72 x - 72 y = 144$
$\Rightarrow x - y = 2$ ....(iii)
On subtracting (i) from (ii) , we get
$2 x + 2 y = 8$
$\Rightarrow x + y = 4$ ....(iv)
On adding (iii) and (iv) , we get
$2 x = 6$
$\Rightarrow x = 3$
By putting $x = 3$ in (iv), we get
$3 + y = 4$
$\Rightarrow y = 1$

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Similar questions

Solve the following pair of equations:
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If $29 x + 37 y = 103 a n d 37 x + 29 y = 95$ then

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