Final answer:
The substitution method is used to solve the given system of equations, resulting in the solution x = 7 and y = -13.
Step-by-step explanation:
To solve the mathematical problem completely, we are given a system of two equations: -3x - 2y = 5 and -2x + 1 = y. We can use the substitution method to solve for x and y.
- First, we solve the second equation for y: y = -2x + 1.
- Next, we substitute y in the first equation with the expression we got from the second equation: -3x - 2(-2x + 1) = 5.
- Simplify the equation to find the value of x: -3x + 4x - 2 = 5, which simplifies to x = 7.
- Finally, we substitute x back into the equation y = -2x + 1 to find the value of y: y = -2(7) + 1, which simplifies to y = -13.
Therefore, the solution to the system of equations is x = 7 and y = -13.