Question

Solve the following systems of equations:
$\frac{1}{7x}+ \frac{1}{6y} =3$
$\frac{1}{2x}- \frac{1}{3y} =5$

Answer 1

Given pair of system of equation :  

1/7x + 1/6y = 3 …………...( 1 )

1/2x - 1/3y = 5 …………...( 2 )

Elimination method is used to solve this Linear pair of Equations:

On multiplying eq 2 by 1/2 :  

1/4x - 1/6y = 5/2 ……….... (3)

On adding equations (1) and (3) :

1/7x + 1/6y = 3

1/4x - 1/6y = 5/2

----------------------

1/7x + 1/4x = 3 + 5/2  

(4 + 7)/28x = (6 + 5)/2

11/28x = 11/2

1/28x = ½

28x = 2

x = 2/28

x = 1/14

On putting x = 1/14  in eq (1)  we get :  

1/7x + 1/6y = 3

1/7(1/14) + 1/6y = 3

1/(½) + 1/6y = 3

1 × 2/1 + 1/6y = 3

2 + 1/6y = 3

1/6y = 3 - 2

1/6y = 1

6y = 1

y = 1/6

Hence, the value of the given system of equation is x = 1/14   and y = 1/6.

Hope this answer will help you…

 

Some more similar questions from this chapter :  

x + y/2 = 4  

x/3 + 2y = 5

brainly.in/question/17132545

 

Solve the following systems of equations:

√2x - √3y = 0

√3x - √8y = 0

brainly.in/question/17131588

Answer 2

Answer:

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