Question

The solution for the equation $x+y=10$ and $x-y=2$ are

• A. $x=6$
  $y=4$
• B. $x=4$
  $y=6$
• C. $x=7$
  $y=3$
• D. $x=8$
  $y=2$

Answer 1

The correct option is A $x=6$

$y=4$

Consider the given equations.

$x+y=10$ ………. (1)

$x-y=2$ ………. (2)

On adding equations (1) and (2), we get

$2x=12$

$x=6$

On putting the value in equation (1), we get

$6+y=10$

$y=10-6$

$y=4$

Hence, the value of $x$ is $6$ and value of $y$ is $4$.