12х + 9y = 18
-4x-3y=32
Part 1: What algebraic method would be used to solve this system of equations and why?
The algebraic method used to solve this system of equations is substitution.
Substitution is a method where one equation is solved for one variable, and then that expression is substituted into the other equation. This allows us to solve for the remaining variable.
In this case, we can solve the first equation for x in terms of y, and then substitute that expression into the second equation. This will give us a single equation with only y as the variable, which can be solved to find its value. Once we have the value of y, we can substitute it back into one of the original equations to solve for the corresponding value of x.