The solution to the system of equations x + y = 1 and 2x - 3y = -18 is x =-3 and y = 4.
Given the parameter:
The system of equations is as follows;
x + y = 1 ---- (1)
2x - 3y = -18 ----(2)
To solve for the solution to the system of equations, first, solve for y in equation 1:
x + y = 1
x - x + y = 1 - x
y = 1 - x
Now, plug y = 1 - x into equation 2 and solve for x:
2x - 3y = -18
2x - 3(1 - x) = -18
2x - 3 + 3x = -18
5x = -18 + 3
5x = -15
x = -15/5
x = -3
Plug x = -3 into equation 3 and solve for y:
y = 1 - x
y = 1 - (-3)
y = 1 + 3
y = 4
Therefore, the value of x is -3 and the value of y is 4.