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Solve the following pair of linear equations by substitution method.

$3 x - \frac{y + 7}{11} = 8, 2 y + \frac{x + 11}{7} = 10$

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x = 3, y = 8

x = 3, y = 7

x = 3, y = 4

x = 3, y = 2

answer is C.

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Detailed Solution

Given equations are,

3 x − y + 7 11 = 8

……….(1)

2 y + x + 11 7 = 10

………….(2)
From equation (1),

3 x - \frac{y + 7}{11} = 8

⇒ 11 3 x − 8 = y + 7 ⇒ y = 33 x − 95............ (3)

Substituting

y = 33 x − 95

in (2),

⇒ 2 33 x − 95 + x + 11 7 = 10 ⇒ 7 66 x − 190 − 10 = − x − 11 ⇒ 463 x = 1389 ⇒ x = 3

Substituting the value of x, in equation (3),

y = 333 − 95 ⇒ y = 4

So, the solution of the given equations is

x = 3

and

= 4

.
Hence, the correct option is 3.

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