Question

please solve theses questions​

Answer 1

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Step-by-step explanation:

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Answer 2

Question:

Solve the given equations:

i) 3 / ( 1 - x ) = 4 / x

ii) 5 = 7 / ( 2x + 1 )

iii) 6 / ( x + 7 ) = 2 / ( x - 3 )

iv) 2 / ( x + 2 ) = 3 / ( 4x - 2 )

Answer:

i) x = 4 / 7

ii) x = 1 / 5

iii) x = 8

iv) x = 2

Step-by-step-explanation:

i)

The given equation is

3 / ( 1 - x ) = 4 / x

⇒ 3x = 4 ( 1 - x )

⇒ 3x = 4 - 4x

⇒ 3x + 4x = 4

⇒ 7x = 4

⇒ x = 4 / 7

∴ The value of x is 4 / 7.

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ii)

The given equation is

5 = 7 / ( 2x + 1 )

⇒ 5 ( 2x + 1 ) = 7

⇒ 10x + 5 = 7

⇒ 10x = 7 - 5

⇒ 10x = 2

⇒ x = 2 / 10

⇒ x = 1 / 5

∴ The value of x is 1 / 5.

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iii)

The given equation is

6 / ( x + 7 ) = 2 / ( x - 3 )

⇒ 6 ( x - 3 ) = 2 ( x + 7 )

⇒ 6x - 18 = 2x + 14

⇒ 6x - 2x = 14 + 18

⇒ 4x = 32

⇒ x = 32 / 4

⇒ x = 8

∴ The value of x is 8.

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iv)

The given equation is

2 / ( x + 2 ) = 3 / ( 4x - 2 )

⇒ 2 ( 4x - 2 ) = 3 ( x + 2 )

⇒ 8x - 4 = 3x + 6

⇒ 8x - 3x = 6 + 4

⇒ 5x = 10

⇒ x = 10 / 5

⇒ x = 2

∴ The value of x is 2.