Question 198944
Given Equations:
[1] -3x + y = 4
[2] -x + y = -2

 -3x + y = 4 ..........(1)
 -x + y = -2 ..........(2)

On Subtracting Eq(2) from  Eq(1), we get:
 -2x = 6 ..............(3)

From Eq(3), we get:
 x = -3 ...............(4)

On Substituting value of x in Eq(1), we get:
 -3*(-3) + y = 4
 y = -5 ...............(5)

Summary: 
 x = -3
 y = -5