Question

Solve the following simultaneous equations.
x + y = 6
x - y = 2​

Answer 1

Step-by-step explanation:

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

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

(1)+(2)

x+x+y-y=6+2

2x=8

x=8/2

x=4

put x value in the equation

4+y=6

y=6-4

y=2

Answer 2

Answer:

Solution :-

The given equations are;

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

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

Now,

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

x + y + x - y = 6 + 2

x + x + y - y = 8

2x = 8

x = 8/2

x = 4

Now,

Putting the value of x = 4 in equation (2) we get,

x - y = 2

➞ (4) - y = 2

➞ 4 - y = 2

➞ - y = 2 - 4

➞ - y = - 2

➞ y = 2

∴ The value of x = 4, y = 2 is the solution of the system of the given equations.