99x+101y=429,101x+99y=501 please send me the solution.

Asked by madhavilathatirumala10 | 21st May, 2019, 10:45: PM

Expert Answer:

Please check the equations as the correct equations are as follows:
 
99x+101y=499   ... (i)
101x+99y=501   ... (ii)

Adding (i) and (ii), we get
200x + 200y = 1000

Divide the equation by 200 on both the sides, we get
x + y = 5   .... (iii)
 
Subtract equation (i) from (ii), we get
2x  - 2y = 2

Divide the equation by 2 on both the sides, we get
x - y = 1   .... (iV)
 
Adding (iii) and (iv), we get
2x = 6
→ x = 3 
 
Put x = 3 in (iii), we get
 
x + y = 5
→ 3 + y = 5
→ y = 2
 
Therefore solution of the given two equations is x = 3 and y = 2.

 

Answered by Yasmeen Khan | 22nd May, 2019, 09:15: AM