Solve it using substitution method
Let x+5y=-7 ----Equation 1
Arrange equation in x= -7-5y
Let -2x-3y = 7-----Equation 2
Substitute equation 1 into 2
-2(-7-5y)-3y =7
14+10y-3y = 7
7y = -7
y=-1
When y=-1 substitute into equation 1 to find x
x= -7-5(-1)
=-2
2*(x+5y)=2*(-7) Multiply the equation by two and you will get...
2x+10y=-14 ...this equation...
-2x-3y=7 ...with this second equation, the x's will now fall out when you add the two equations together...
7y=-7 ...solve for y and you get...
y=-1
x+5*(-1)=-7 ...substitute the -1 back into any of the equations for y and solve for x...
x-5=-7 ...simplify to get...
x=-2