If the values of solutions X and y of the system of quadratic equations {5x + 3Y = 1, KX - (k-1) y = 7 are opposite to each other, then k =? X =? Y =? This is a calculation problem of elimination method for binary linear equations. Please help me to do it,

If the values of solutions X and y of the system of quadratic equations {5x + 3Y = 1, KX - (k-1) y = 7 are opposite to each other, then k =? X =? Y =? This is a calculation problem of elimination method for binary linear equations. Please help me to do it,

y=-x,
5x + 3Y = 1 = > 5x + (- 3x) = 1 replace y with X
5x-3x=1 => x=1\2 => y=-1\2
Substituting equation 2
1\2k-(k-1)*(-1\2)=7
k=15\2