3х + 2y = 18
1=4=13
Part 1: What algebraic method would be used to solve this system of equations and why? Substitution
The algebraic method that would be used to solve this system of equations is substitution.
This method involves solving one equation for one variable in terms of the other variable, and then substituting this expression into the other equation. By doing this, we can eliminate one variable and solve for the remaining variable.
In the given system of equations:
1) 3x + 2y = 18
2) 1 = 4 = 13 (which seems to be a typo as it contains two equal signs)
We can solve equation 1 for x in terms of y, or solve equation 1 for y in terms of x and substitute that expression into equation 2. Once we substitute the value of one variable into the other equation, we can solve for the remaining variable.
However, equation 2 seems to contain a typo as it has two equal signs. Thus, it is not possible to proceed with the substitution method without a valid equation.