Question

100 points! What is the solution to the system of equations? x+y=2 x-y=4 ( , )

Answer 1

(3, -1)

Explanation:

The system of linear equations x+y=2 x-y=4 can be rewritten as

x+y=2

x-y=4

We can eliminate y by adding these two equations together:

x+y=2

x-y=4

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2x = 6

Solving for x, x = 3.

Now find y by subbing 3 for x in the first equation:

3 + y = 2. Then y = -1.

The solution is (3, -1).