Question

the solution for the equation x-y=2 and x+y=8 are​

Answer 1

Given System of Equations is,

$\sf{x - y = 2........(1)} \\ \sf{and \: x + y = 8}.........(2)$

★Adding both the equations [1] and [2],

$\sf{2x = 10} \\ \\ \implies \: \boxed{ \sf{x = 5}}$

★Putting x = 6 in [1],we get:

$\sf{5 - y = 2} \\ \\ \implies \sf{y = 5 - 2} \\ \\ \implies \: \boxed{ \sf{y = 3}}$

Thus,the solutions are 3 and 5

Answer 2

Answer:

x=5 ,Y =3

Step-by-step explanation:

x-y=2.....(1)

x+y=8.....(2)

equation(1)-(2)

-2y=-6

y=3

putting the value of y in equation (1)

we get ,

x-3=2

x=5

Hence x =5 and y =3