Question

After solving the system x+2y=10 and x-2y=2. What is the sum of x+y equal to?

Answer 1

6 + 2 = 8

Explanation:

`x + 2y = 10 \\ + \\ x - 2y = 2 \\ = \\ 2x = 12 \\ x = 6 \\ 6 + 2y = 10 \\ 2y = 4 \\ y = 2 \\ x + y = 6 + 2 = 8`

Answer 2

The sum of x and y is 8.

Explanation:

x+2y=10

x-2y=2

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2x = 12, so x = 6. Substituting 6 for x in the 2nd equation, we get:

6 - 2y = 2, or

4 = 2y, or y = 2. The solution is therefore (6, 2).

The sum of x and y is 6 + 2 = 8 (answer)