Question

(i) x + y = 14
x - y = 4
Simultaneous linear equation by the substition method.
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Answer 1

Step-by-step explanation:

Given :-

x + y = 14 and x - y = 4

Solution :-

⇒ x + y = 14 ... (i)                  

⇒ x - y = 4 ... (ii)                  

From equation (i), we get                  

⇒ x = 14 - y ... (iii)                  

Putting this value in equation (ii), we get                  

⇒ (14 - y) - y = 4                  

⇒ 14 - 2y = 4                  

⇒ 10 = 2y  

⇒ y = 10/2              

⇒ y = 5 ... (iv)                  

Putting this in equation (iii), we get                  

⇒ x = 9    

           

Hence, x = 9 and y = 5.

Answer 2

Answer:

(x,y) = (9,5)

Step-by-step explanation:

x + y = 14 ....(1)

x - y = 4 ..... (2)

By considering eq.(2)

x= 4+y .... (3)

Substituting eq.(3) in eq.(1)

4+y+y = 14

4+2y =14

2y = 14-4

2y = 10

y = 10

2

y = 5

Substituting y = 5 in eq.(2)

x - y = 4

x - 5 = 4

x= 4+5

x = 9

therefore,

Solution is (x,y) = (9,5)