X plus y equals 2 and y equals 2x-13?

1. x + y = 2

2. y = 2x - 13

Rewriting 2. as:

3. 2x - y = 13

Adding 1 & 3 gives:

4. 3x = 15

x = 5

Substituting x = 5 into 1. gives:

5 + y = 2

y = 2 - 5

y = -3

Checking values by substituting x = 5 and y = -3 into 2 gives:

-3 = (2 * 5) - 13

-3 = 10 - 13

-3 = -3

Therefore x = 5 and y = -3.