Could someone please help me with a few problems on the Elimination Method?

Question

1)
5x - y = 12
3x + y = 4

2)
2x - y = -6
2x - 2y = -4

Answer 1

5x - y = 12
3x + y = 4
Add the two equations.
8x = 16
x = 2
3(2) +y = 4
y = -2
Check it.
5(2) - (-2) = 12
Checks.

2x -y = -6
2x -2y = -4
Subtract the two equations.
y = -2
2x -(-2) = -6
x = -4

Answer 2

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Answer 3

1) Add equations
8x = 16
x = 2, y = -2
2) Subtract equations
y = -2, x = -4

Answer 4

1)
Add :-

8x = 16
x = 2

6 + y = 4
y = - 2

x = 2 , y = - 2