2x = 2 - y and 3x + y = -1?

2x = 2 - y
3x + y = -1
___________

2x + y = 2
3x + y = -1

___________

-2x - y = -2
3x + y = -1

___________

x = -3

3(-3) + y = -1

y = 8

(-3,8) is your final answer

2x = 2 - y
3x + y = -1

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

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

2x = 2 - y
2(-3) = 2 - y
2 - y = -6
y = 2 - (-6)
y = 2 + 6
y = 8

∴ x = -3 , y = 8

2 - y = 2x
3x + y = -1

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

x=-3

3x + y = -1
y = -1 -3x
= -1-3(-3)
= -1- (-9)
=8

y=8

Ans: x= -3, y=8

1) 2x = 2 - y multiply by 3 : 6x = 6 -3y
2) 3x + y = -1 multiply by -2 : -6x - 2y = 2
----------------------------------------------------------------------------- +
you will get 6x - 6x - 2y = 6 - 3y + 2

-2y = 8 - 3y
y = 8

you subs back in to 1) or 2) you should get x = -3

x = -3
y = 8

- 2x - y = - 2
3x + y = - 1-----ADD

x = - 3

- 9 + y = - 1
y = 8

x = - 3 , y = 8

2x = 2 - y and 3x + y = -1
2x + y = 2
3x + y = -1
eqn 1 - eqn 2
x = -3

-6 + y = 2
y = 8

2x = 2 - y and 3x + y = -1
rearrange
2x + y = 2
3x + y = -1
subtract eqn 1 from eqn 2
x = -3

-6 + y = 2
y = 8