Question

Solve the following simultaneous equations :

x + y = 10 , x – y = 20​

Answer 1

Step-by-step explanation:

x+y=10x−y=20x+y=10x−y=202y=−10y=10÷2y=5x−5=2020−5=15and−5istheanswer

Answer 2

Answer:

Solution :-

The given equations are;

x + y = 10 . . . . (1)

x - y = 20 . . . . (2)

Now,

Adding equations (1) and (2), we get

x + y + x - y = 10 + 20

x + x + y - y = 30

2x = 30

x = 30/2

x = 15

Now,

Putting the value of x = 15 in equation (1) we get,

x + y = 10

➞ (15) + y = 10

➞ 15 + y = 10

➞ y = 10 - 15

➞ y = - 5

∴ The value of x = 15, y = - 5 is the solution of the system of the given equations.