Question

(2,4)=(x-y,x+y) then find the value of x

Answer 1

Answer:

The value  of $x$ is 3 and the value of $y$ is 1.

Step-by-step explanation:

Given that

$(2,4)=(x-y,x+y)$

Comparing the components, we get two equations as

$x-y=2 \hspace{2cm}(1)\\\\x+y=4\hspace{2cm}(2)$

Add equations (1) and (2),

$\implies 2x=2+4=6\\\\\implies x=3$

So substitute this value  in one of those equations to obtain the value of $y$.

$3+y=4\\\\\implies y=1$

Answer 2

Step-by-step explanation:

x + y = 4 _equation 1

x - y = 2 _equation 2

Adding equation 1 and equation 2

( x + y ) + ( x - y ) = 4 + 2

x + y + x - y = 6

2x = 6

x = 6/2

x = 3