Question

Namaste behno aur bhaiyo...!!!


Apka QUESTION yaha hai...

✔Reduce the following pair of equations into pair of linear equations and solve them :-

Photo me question hai...part (ii)


All the best !!!




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Answer 1

Answer:

Required numeric value of x as well as y is 1.

Step-by-step explanation:

Let the algebraic value of 1 / ( 3x + 2y ) be and value of 1 / ( 3x - 2y ) be b.

Now the given equations are reduced into the pair of linear equations and equations are :

• 2a + 3b = 17 / 5 ...( 1 )
• 5a + b = 2 ...( 2 )

From ( 2 ), b = 2 - 5a.

Substituting this value of b in ( 1 ) :

= > 2a + 3( 2 - 5a ) = 17 / 5

= > 2a + 6 - 15a = 17 / 5

= > - 13a = 17 / 5 - 6

= > - 13a = ( 17 - 30 ) / 5

= > - 13a = - 13 / 5

= > a = 1 / 5

Then, substituting the numeric value of a in ( 2 )

= > 5a + b = 2

= > 5( 1 / 5 ) + b = 2

= > 1 + b = 2

= > b = 2 - 1

= > b = 1

Above we assumed 1 / ( 3x + 2y ) as a and 1 / ( 3x - 2y ) as b, so value of 3x + 2y must be 5 and 3x - 2y must be 1.

Adding 3x + 2y and 3x - 2y :

3x + 2y = 5

3x - 2y = 1

6x = 6

= > x = 1

Thus,

= > 3x - 2y = 1

= > 3( 1 ) - 2y = 1

= > 3 - 2y = 1

= > 3 - 1 = 2y

= > 2 = 2y

= > y = 1

Hence the required numeric value of x is 1 and y is 1.

Answer 2

Linear Equations :

Answer :

x = 1, y = 1

Explanation :

Refer the attached picture.