Question

Consider following system of linear equations. X-y=2 x+y=0 Which of th following is a true statement?​

Answer 1

Step-by-step explanation:

the system has no solution

Answer 2

This problem is about the system of linear equations in two variables.

Given:

The system of linear equations is,

$x-y=2$             ........$(1)$

$x+y=0$             .........$(2)$

From the equation $(2)$, we get

$x=-y$

Substitute in equation $(1)$

$-y-y=2$

$-2y=2$

$y=-1$

So, $x=-(-1)=1$

⇒ $(1,-1)$ is the solution of the system.

Hence, the given system has only one solution.