Question

4/x+3/y=1 8/x-9/y=7 simultaneous equation​

Answer 1

Answer:

x=4, y=3

Step-by-step explanation:

4/X +3/Y = 1    (1)  

8/X -9/Y = 7     (2)

Let 1/X = p and 1/Y = q

Then the given equation becomes  

4p + 3q = 1   (3)  

8p -9q = 7    (4)

From equation (3)  

4p +3q = 1  

4p = 1-3q  

p = 1-3q/4    (5)

Putting the value of p in equation (4)  

8p -9q = 7  

8 × 1-3q/4 -9q = 7  

2(1-3q) -9q = 7  

2 - 6q -9q = 7

-15q = 7-2

-15q = 5

q = 1/-15  

q = 1/-3

Putting the value of q in equation (5)

p= 1-3q/4 = 1- 3 × 1/-3 /4 = 1/4

Therefore,  

1/X = p  

1/X= 1/4 => X = 4

 

1/Y = q

1/Y = 1/3 => Y = 3.