For $2 x + 3 y = 7$ and $3 x + 2 y = 3, x - y =$ ...........

4

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- 4

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10

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21

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Solution

The correct option is B $- 4$
Given $2 x + 3 y = 7$ ...... $(i)$
and $3 x + 2 y = 3$ .......... $(i i)$
On subtracting $(i i)$ from $(i)$ we get
$2 x + 3 y - 3 x - 2 y = 7 - 3$
$⟹ - x + y = 4$
$⟹ x - y = - 4$
Hence, the answer is $- 4$ .

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Similar questions

Solve the following pair of linear equations by the elimination method and the substitution method :

(i) x+y=5 and 2x−3y=4
(ii) 3x+4y=10 and 2x−2y=2
(iii) 3x−5y−4=0 and 9x=2y+7
(iv) x2+2y3=−1 and x−y3=3

x

y

3 x + 2 y = 4

2 x - 3 y = 7

\frac{1}{2 (2 x + 3 y)} + \frac{12}{7 (3 x - 2 y)} = \frac{1}{2}

\frac{7}{2 x + 3 y} + \frac{4}{3 x - 2 y} = 2

2 x + 3 y \neq 0

3 x - 2 y \neq 0

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