Question

x+y=0; x-y=2 By Substitution Method (simeltaneous linear equation)​

Answer 1

Given :-

x + y = 0

x - y = 2

To Find :-

Value of x and y by solving by substitution Method.

$\rule{200}{1}$

Answer :-

x = 1 , y = - 1

$\rule{200}{1}$

Step By Step Explanation →

=> x + y = 0 (Given)

=> x = -y ------(i)

=> x - y = 2

Put the value of x from (i)

=> -y - y = 2

=> -2y = 2

=> y = 2/(- 2)

=>$\boxed{ y = - 1 }$

$\rule{200}{1}$

Put the value of y into (i)

=> x = - y

=> x = - (- 1)

=>$\boxed{ x = 1 }$

$\rule{200}{1}$

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Answer 2

Answer:

x = 1 and y = -1

Step-by-step explanation:

Given equations are:

x + y = 0     ...........(i)

x - y = 2      ...........(ii)

From equation (i),

x + y = 0

x = -y          ...........(iii)

Substituting this value of x in equation (ii), we get

-y - y = 2

-2y = 2

y = -1

Putting this value of y in equation (iii), we get

x = -(-1)

x = 1

Thus, x = 1 and y = -1