Solve

3x + 4y = 5
x + 5y = 9

(1,1)

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(2,2)

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(-1,2)

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(-1,-1)

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Solution

The correct option is C
(-1,2)

Given equation:

3x + 4y = 5............(i)
x + 5y = 9............(ii)

From (ii) we get x = 9 - 5y...............(iii)

Substituting (iii) in (i) we get

3x + 4y = 5
3(9 - 5y) + 4y = 5
27 - 15y + 4y = 5
27 - 11y = 5
-11y = -22

$\Rightarrow$ y = 2

Substituting y in (ii) we get

x + 5y = 9
x + 5(2) = 9
x + 10 = 9
$\Rightarrow$ x = -1

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