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

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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

1)

Add :-

8x = 16

x = 2

6 + y = 4

y = - 2

x = 2 , y = - 2

Answer 3

1) Add equations

8x = 16

x = 2, y = -2

2) Subtract equations

y = -2, x = -4

Answer 4

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