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Solve the system of equations. 2x-2y=-4 and x+y=8. PLEASE SHOW WORK

1 Answer

5 votes

Answer:

(x, y) = (3, 5)

Explanation:

It works well to divide the first equation by 2, so the system is ...

  • x -y = -2
  • x +y = 8

Now, adding the two equations together gives ...

2x = 6

x = 3 . . . . divide by 2

Substituting that into either equation gives you an equation for y.

3 - y = -2

5 - y = 0 . . . . add 2

5 = y . . . . . . . add y

The solution is (x, y) = (3, 5).

User Deepak B
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