Question

plz solve the question given in attachment​

Answer 1

Answer:

(i) x=3

(ii) x= -7

(iii) x= -7

Explanation:-

Given in pic

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Answer 2

Question:

Solve the given equations:

i) [ ( x - 3 ) / 2 ] + 4 = ( 3x + 7 ) / 4

ii) 1 / 2 ( x + 3 ) - [ 2 / 5 ( x - 3 ) ] = x + 9

iii) ( x + 7 ) / 4 = [ ( x - 3 ) / 5 ] + 2

Answer:

i) x = 3

ii) x = - 7

iii) x = - 7

Step-by-step-explanation:

i)

The given equation is

[ ( x - 3 ) / 2 ] + 4 = ( 3x + 7 ) / 4

⇒ ( x - 3 + 8 ) / 2 = ( 3x + 7 ) / 4

⇒ ( x + 5 ) / 2 = ( 3x + 7 ) / 4

⇒ ( x + 5 ) / 2 * ( 2 / 2 ) = ( 3x + 7 ) / 4

⇒ 2 ( x + 5 ) / 4 = ( 3x + 7 ) / 4

⇒ 2x + 10 = 3x + 7

⇒ 10 - 7 = 3x - 2x

⇒ x = 3

∴ The value of x is 3.

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ii)

The given equation is

1 / 2 ( x + 3 ) - [ 2 / 5 ( x - 3 ) ] = x + 9

⇒ ( x + 3 ) / 2 - [ 2 ( x - 3 ) / 5 ] = x + 9

⇒ ( x + 3 ) / 2 - [ ( 2x - 6 ) / 5 ] = x + 9

⇒ [ 5 ( x + 3 ) - 2 ( 2x - 6 ) ] / ( 2 * 5 ) = x + 9

⇒ ( 5x + 15 - 4x + 12 ) / 10 = x + 9

⇒ x + 27 = 10 ( x + 9 )

⇒ x + 27 = 10x + 90

⇒ 27 - 90 = 10x - x

⇒ 9x = - 63

⇒ x = - 63 / 9

⇒ x = - 7

∴ The value of x is - 7.

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iii)

The given equation is

( x + 7 ) / 4 = [ ( x - 3 ) / 5 ] + 2

⇒ ( x + 7 ) / 4 = ( x - 3 + 10 ) / 5

⇒ ( x + 7 ) / 4 = ( x + 7 ) / 5

⇒ 5 ( x + 7 ) = 4 ( x + 7 )

⇒ 5x + 35 = 4x + 28

⇒ 5x - 4x = 28 - 35

⇒ x = - 7

∴ The value of x is - 7.