What is the solution for the system of equations? y = -x +4
y = x- 2

• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable  y  

  [2]    y = x - 2

// Plug this in for variable  y  in equation [1]

[1]    (x -2) + x = 4

  [1]    2x = 6

// Solve equation [1] for the variable  x  

[1]    2x = 6  

[1]    x = 3  

// By now we know this much :

y = x-2

x = 3

// Use the  x  value to solve for  y  

 y = (3)-2 = 1