Question

Identify the best method for solving the given system of equations. Justify your choice using academic vocabulary.

—6х + 5y = 1
6х + 4у = -10

A) Substitution method is the best approach because it simplifies solving for a single variable and substituting it into the other equation.
B) Elimination method is the best approach because it allows for direct elimination of one variable.
C) Graphing method is the best approach as it provides a visual representation of the solution.
D) Cramer's rule is the best approach for solving this system.

Answer 1

The elimination method is the best approach for solving the given system of equations because it directly and efficiently removes one of the variables.

Step-by-step explanation:

To identify the best method for solving the given system of equations: —-6х + 5y = 1 and 6х + 4у = -10, we must evaluate each option.

The elimination method is the best approach because it directly removes one of the variables.

By simply adding the two equations, we can eliminate the variable 'x' owing to the coefficients of x being equal and opposite (-6 and 6).

This will then leave us with a single equation in terms of 'y' that we can solve easily.

Substitution method would involve more steps, the graphing method is less precise and requires drawing, and Cramer's rule is an option but is more complex and not necessary in this case.