Use addition to solve the linear system of equations. Include all of your work in your final answer. x-y=4 x+2y=4

x = 4 , y = 0

Step-by-step explanation:

x -    y = 4 ( 1 )  

x + 2y = 4 ( 2 )

( 1 ) x - 1 => - x + y = - 4  ( 3 )

( 2 )      =>    x + 2y = 4   ( 2 )

( 2 ) + ( 3 ) => 0 x  + 3y = 0

               => y = 0

Substitute y = 0 in ( 1 ) => x - y = 4

                                  => x - 0 = 4

                                        x = 4

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.