Question

3 1/x * 5 1/4 = 17 1/2. Tell the answer of this Linear Equation..??​

Answer 1

Answer:

x=3

Step-by-step explanation:

3 1/x * 5 ¼ = 17 ½  

3 1/x= 3x+1/x    5 ¼= 21/4  17 ½= 35/2

3x+1/x * 21/4=35/2

63x+21/4x=35/2

(63x+21)*2=35*4x

126x+42=140x

42=140x-126x

42= 14x

14x=42

x=42/14

x=3

Answer 2

Answer:

The value of x = 3.

Step-by-step explanation:

Given:

3(1/x) $*$ 5 ¼ = 17 ½

To find:

The value of x.

Step 1

Let the given equation linear equation be

3(1/x) $*$ 5 ¼ = 17 ½

Where, 3(1/x) = 3x + 1/x  

5 ¼ = 21/4 and

17 ½ = 35/2

Step 2

Substituting the above values we get

[3x + (1/x)] $*$ 2(1/4) = 35/2

Simplifying the above equation as

63x + 21/4 x = 35/2

Equating,

(63x + 21) $*$ 2 = 35 $*$ 4x

Step 3

taking the co-efficient of x into same side,

126x + 42 = 140x

we get

42 = 140x - 126x

42 = 14x

Step 4

Dividing the throughout by 14 on both sides, we get

14x/ 14 = 42/ 14

x = 42/14

Simplifying the value of x, we get

x = 3

Therefore, the correct answer is x = 3.

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