Question

x + y = 0 x - y = 2 by elimination and substitution method​

Answer 1

Answer:

$add \: the \: both \: equations$

$x + y + x - y = 2 + 0$

$2x = 2$

$x = 1$

$x - y = 2$

$y = 1 - 2$

$y = - 1$

$1 - y =2$

$y = -1$

Answer 2

Answer:

${ \large{ \pmb{ \sf{Given... }}}}$

: ➙ x + y = 0

: ➙ x - y = 2

${ \large{ \pmb{ \sf{To \: Find... }}}}$

Value of x and y

${ \large{ \pmb{ \sf{Solution... }}}}$

x + y = 0 ___(1)

x - y = 2 ____(2)

From equation (2),

➙ x - y = 2

➙ x = 2 + y ___(3)

Now substitute x value in equation (1) ,

${ \implies{ \sf{x + y = 0}}}$

$\: { \implies{ \sf{2 + y + y = 0}}}$

$\: { \implies{ \sf{2 + 2y = 0}}}$

$\: { \implies{ \sf{2y = - 2}}}$

$\: { \implies{ \sf{y = - 1}}}$

So, Value of y is -1

Now substitute y value in equation (1) ,

$\: { \implies{ \sf{x + y = x}}}$

$\: { \implies{ \sf{x - 1 = 0}}}$

$\: { \implies{ \sf{x = 1}}}$

So, Value of x = 1

${ \large{ \pmb{ \sf{Final \: Answer... }}}}$

: ➙ Value of x = 1

: ➙ Value of y = -1