The number of common solutions for $3 x + 2 y =$ $18$ and $5 x + 4 y = 3$ .

3

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4

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2

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1

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Solution

The correct option is D $1$
$3 x + 2 y = 185 x + 4 y = 3.$
$3 x + 2 y = 18 \times 5 =$ $15 x + 10 y = 90$
$5 x + 4 y = 3 \times 3$ $15 x + 12 y = 9$
$- 2 y = 81$
$y = - \frac{- 81}{2}$
$3 x + 2 \times (\frac{- 81}{2}) = 18$
$3 x = 18 + 81$
$x = \frac{99}{3} = 33 \Rightarrow x = 33$
The number of $s o l^{n}$ is 1. (x,y) = (33, -81/2)

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