Answer:
(-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)
