Question

Solve the following simultaneous equation. x - y = 6 x + y = 12

Answer 1

Step-by-step explanation:

x- y =6

x=6-y

substitute in other equation

6-y+y = 12

6+2y=12

2y =6

y= 3

find x by substituting

3+x =12

x = 9

Answer 2

Answer:

Solution :-

The given equations are;

x - y = 6 . . . . . (1)

x + y = 12 . . . . (2)

Now,

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

x - y + x + y = 6 + 12

x + x - y + y = 18

2x = 18

x = 18/2

x = 9

Now,

Putting the value of x = 9 in equation (2) we get,

x + y = 12

➞ (9) + y = 12

➞ 9 + y = 12

➞ y = 12 - 9

➞ y = 3

∴ The value of x = 9, y = 3 is the solution of the system of the given equations.