Question

Please find these solutions ​

Answer 1

Answer:

(I) 3

(ii) -2

Step-by-step explanation:

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Answer 2

Answer:

Question 1) x = 3

Question 2) x = (-2)

Step-by-step explanation:

• Question 1)

$\sf{\implies} \: \dfrac{3x - 7}{3(x + 7)} = \dfrac{1}{15}$

$\sf{\implies} \: \dfrac{3x - 7}{3x + 21} = \dfrac{1}{15}$

$\sf{\implies} \: 15(3x - 7) = 1(3x + 21)$

$\sf{\implies} \: 45x - 105= 3x + 21$

$\sf{\implies} \: 45x - 3x = 21 + 105$

$\sf{\implies} \: 42x = 126$

$\sf{\implies} \: x = \dfrac{126}{42}$

$\sf{\implies} \: x = 3$

Therefore, x = 3

• Question 2)

$\sf{\implies} \: \dfrac{x + 2}{4x + 8} = 3$

$\sf{\implies} \: x + 2 = 3(4x + 8)$

$\sf{\implies} \: x + 2 = 12x + 24$

$\sf{\implies} \: x - 12x = 24 - 2$

$\sf{\implies} \: - 11x = 22$

$\sf{\implies} \: 11x = - 22$

$\sf{\implies} \: x = \dfrac{ - 22}{11}$

$\sf{\implies} \: x = - 2$

Therefore, x = (-2)