Question

x+y=16 , x-y =4 find the solution of the following pair of linear equations .​

Answer 1

Step-by-step explanation:

• add both equations
• ( x + y )+( x - y ) = 16 + 4
• 2x = 20
• x = 20/2
• x = 10
• apply value of x in any one of the equations
• x+y=16
• 10+y=16
• y=16-10
• y = 6

Answer 2

Step-by-step solution:

Given:

$x+y=16\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots(1)$

To find:

The solution of the following pair

Unique solution:

From  the equation   $x-y=4\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots(2)$                                  

We get ,$x=y+4$            

Now, we can substitute the $x$ value in equation (1)

$y+4+y=16\\2y+4=16\\2y=12\\y=6$

Finally got the answer of $y$

The value of $y$ is substitute in equation (1)

$x+y=16\\x+(6)=16\\x=16-6$

$x=10$

Therefore , $x=10 , y=6$