Question

solve the following simultaneous equation x + y= 7; x -y = 3​

Answer 1

Answer:

x=2,y=5

Step-by-step explanation:

subtract the equation.

x+y=7

- x-y=3

-

2x=4

x=4/2

x=2

substitute the value x=2

in eqn 1

x+y=7

2+y=7

y=7-2

y=5

Answer 2

Answer:

Solution :-

The given equations are;

x + y = 7 . . . . (1)

x - y = 3 . . . . (2)

Now,

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

➜ x + y + x - y = 7 + 3

➞ x + x + y - y = 10

➞ 2x = 10

➞ x = 10/2

➞ x = 5

Putting the value of x = 5 in the equation (2), we get,

➜ x - y = 3

➞ (5) - y = 3

➞ 5 - y = 3

➞ - y = 3 - 5

➞ - y = - 2

➞ y = 2

∴ The value of x = 5, y = 2 is the solution of the system of the given equations.