Question

Solve the following systems of equations:
$\frac{x}{2}+y=0.8$
$\frac{7}{x+\frac{y}{2}}=10$

Answer 1

Given, pair of linear equations:

x/2 + y = 0.8  

7/(x + y/2) = 10

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

The given system of equation can be written as :  

x + 2y = 1.6 ………....(1)

14/(2x + y) = 10  

10(2x + y) = 14  

20x + 10y = 14

2(10x + 5y) = 14

10x + 5y = 14/2

10x + 5y = 7 ……..(2)

On multiplying equation (1) by 10 :  

10x + 20y = 16 ….. (3)

On subtracting equ (3) from (2) :

10x + 5y = 7

10x + 20y = 16

(-)  (-)       (-)  

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  - 15y = - 9

15y = 9

y = 9/15

y = 3/5

On Substituting the value of y in equation (1) we obtain ,

x + 2y = 1.6

x + 2 (⅗) = 1.6

x + 6/5 = 1.6

x = 1.6 - 6/5

x = 1.6 - 1.2

x = 0.4

x = 4/10

x = 2/5

Hence the solution of the given system of equation is x = 2/5 and y = ⅗.

Hope this answer will help you…

 

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Answer 2

Step-by-step explanation:

hope it will help you mate .............!!!!!!!