Now that we have found the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the second equation:
x + 2y = -1 3 + 2y = -1 2y = -4 y = -2
Therefore, the solution to the system of equations is x = 3 and y = -2.
To solve this system of equations, we can use the method of elimination by adding the two equations together to eliminate the variable y.
First, let's write the equations in the standard form:
3x - 2y = 13
x + 2y = -1
Now, add the two equations together:
(3x - 2y) + (x + 2y) = 13 + (-1)
3x - 2y + x + 2y = 12
4x = 12
x = 3
Now that we have found the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use the second equation:
x + 2y = -1
3 + 2y = -1
2y = -4
y = -2
Therefore, the solution to the system of equations is x = 3 and y = -2.