#### Answer

{(-2,-1)}

#### Work Step by Step

3x+y=-7
3x-3x+y=-7-3x
y=-7-3x
Plug this value for y into the other equation.
2x-5y=1
2x-5(-7-3x)=1
2x-5(-7)-5(-3x)=1
2x+35+15x=1
2x+15x+35=1
17x+35=1
17x=1-35
17x=-34
x=-$\frac{34}{17}$
x=-2
Plug this value for x into the first equation to find y.
y=-7-3x
y=-7-3(-2)
y=-7+6
y=-1
Therefore the solution is (-2,-1)