Question

Solve the following simultaneous equation.
x+y = 11
x-y = 5

Answer 1

Answer:

x+y=11

x=11-y

x-y=5

11-y-y=5

11-2y=5

2y=11-5

• y=6/2

y=3

x-y=5

x-3=5

• x=8

Answer 2

Answer:

Solution :-

The given equations are;

x + y = 11 . . . . . (1)

x - y = 5 . . . . . (2)

Now,

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

x + y + x - y = 11 + 5

x + x + y - y = 16

2x = 16

x = 16/2

x = 8

Putting the value of x = 8 in equation (1) we get,

x + y = 11

➞ (8) + y = 11

➞ 8 + y = 11

➞ y = 11 - 8

➞ y = 3

∴ The value of x = 8, y = 3 is the solution of the system of the given equations.