Question

The denominator of a fraction is 4 more than twice the numerator. Write a linear equation in two variables for the above statement if numerator of the fraction is x and the denominator is y.​

Answer 1

Answer:

Let the numerator and denominator of the fraction be x and y respectively. Then,

Fraction =  

y

x

​  

 

It is given that

Denominator =2 (Numerator) +4

⇒y=2x+4

⇒2x−y+4=0

According to the given condition, we have

y−6=12(x−6)

⇒y−6=12x−72

⇒12x−y−66=0

Thus, we have the following system of equations

2x−y+4=0 .(i)

12x−y−66=0 ..(ii)

Subtracting equation (i) from equation (ii), we get

10x−70=0

⇒x=7

Putting x=7 in equation (i), we get

14−y+4=0

⇒y=18

Hence, required fraction =  

18

7

​  

.

Step-by-step explanation:

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