Solve the following pair of simultaneous equations
$3 x + 2 y = - 1$
$6 y = 5 (1 - x)$

x = - 2

and

y = 2.5

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x = - 1

and

y = 3

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x = 6

and

y = 1.5

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x = - 7

and

y = - 4

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Solution

The correct option is A $x = - 2$ and $y = 2.5$
$3 x + 2 y = - 1$ ...(i)
$6 y = 5 (1 - x) \Rightarrow 5 x + 6 y = 5$ ...(ii)
On multiplying (i) by 5 and (ii) by 3, we get
$15 x + 10 y = - 5$
$1 - 5 x + - 18 y = 1 - 5 - -------------- -$
$- 8 y = - 20$
$∴ y = \frac{20}{8} = 2.5$
On putting $y = 2.5$ in (i), we get
$3 x + 2 (2.5) = - 1 \Rightarrow 3 x = - 6 \Rightarrow x = - 2$
$∴ x = - 2, y = 2.5$

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