Answer: X = -61/30, Y = 14/15.
Step-by-step explanation:
1. Multiply the first equation by 4 to get -8x+4y=20
2. Add the second equation to this new equation to get -4x+13y=37
3. Multiply the second equation by 2 to get 8x+2y=34
4. Subtract the first equation from this new equation to get 15y=14
5. Solve for y to get y=14/15
6. Finally, substitute y into one of the original equations to solve for x. Using the first equation, we have -2x+(14/15)=5 which simplifies to -2x=61/15. Solving for x gives x=-61/30.
So the solution is x=-61/30 and y=14/15.
Hope this helps, and have a great day!