Which of the following systems would best be solved using the elimination method instead of the substitution method? Select one: a. x+y = 21
3x-2y =-12 b.5x-8y = 40
-3x + 4y =-12 c, 6x-3y = 54
y=4x + 6 d. All of these systems would be best solved using the substitution method instead of the elimination method



Answer :

System 6x-3y = 54, y=4x + 6, would best be solved using the elimination method instead of the substitution method.

The elimination method involves adding or subtracting the equations in such a way as to eliminate one of the variables, resulting in a single equation that can be solved for the remaining variable. This method is often faster and simpler than the substitution method, which involves solving for one variable in one equation and substituting the resulting expression into the other equation. In system c, the coefficients of the y-terms in the two equations are opposite in sign, making it easy to eliminate y by adding the equations. In contrast, systems a and b have y-terms with the same sign, making it more difficult to eliminate y using the elimination method. System d does not have a unique solution, so neither the substitution method nor the elimination method can be used to solve it.

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