5x + 2y = -5
X + 3y = 1

(-17/13, 10/13)

Step-by-step explanation:

Next time, please include more info regarding what you're supposed to do.  I will assume that the instructions said "solve this system of linear equations using elimination by addition and subtraction."

Multiply all three terms of the second equation by -5.  Then the system looks like:

5x + 2y =     -5

-5X + -15y = -5

Next, combine these two equations:

5x + 2y =     -5

-5X + -15y = -5

       -13y = -10

Dividing both sides by -13 yields y = 10/13.

Substituing 10/13 for y in the second equation, we get:

x + 3(10/13) = 1

Multiplying all three terms by 13 eliminates fractions:

13x + 30 = 13, or 13x  = -17.  Then x = -17/13, and the solution is

(-17/13, 10/13)

10

Step-by-step explanation: