From the second equation, y=-4x-22, so substitute this value for y in the first equation:
9x-5(4x+22)=-143. Solve for x:
9x-20x-110=-143,
143-110=20x-9x,
33=11x, x=3. y=-4x-22=-12-22=-34.
CHECK
9x+5y=27-170=-143✔️
4x+y=12-34=-22✔️
SOLUTION: x=3, y=-34.