Answer:
We can solve this system of equations using substitution or elimination.
Using substitution, we can solve for one variable in terms of the other in one equation and substitute that expression into the other equation. For example, we can solve the first equation for x in terms of y:
2x + 5y + 1 = 0
2x = -5y - 1
x = (-5/2)y - 1/2
Now we can substitute this expression for x into the second equation:
3x + 7y = 1
3((-5/2)y - 1/2) + 7y = 1
-15/2 y - 3/2 + 7y = 1
9.5y = 5
y = 5/9.5 = 1/1.9
Now we can substitute this value of y back into either equation to solve for x:
x = (-5/2)y - 1/2
x = (-5/2)(1/1.9) - 1/2
x = -2.632
So the solution to the system of equations is x = -2.632 and y = 1/1.9.