#### Answer

{(1,-3)}

#### Work Step by Step

x=y+4
Plug this value for x into the other equation
3x+7y=-18
3(y+4)+7y=-18
3y+12+7y=-18
3y+7y+12=-18
10y+12=-18
10y+12-12=-18-12
10y=-30
y=-$\frac{30}{10}$
y=-3
Plug this value for y into the first equation to find x
x=(-3)+4
x=1
Therefore the solution is {(1,-3)}