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Which method is best for solving the system of equations below, where you can eliminate one variable term by adding the equations?

Which method is best for solving the system of equations below, where you can eliminate-example-1
User Blsn
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2 Answers

3 votes

The elimination method involves adding or subtracting the equations to eliminate one variable term, making it a suitable approach for the given system of equations. Option D is correct.

The most effective method for solving the system of equations is elimination (option D).

In this method, you can manipulate the equations by adding or subtracting them to eliminate one variable, simplifying the system and making it easier to solve for the remaining variable. In the provided equations, adding the two equations cancels out the
\(3x\) term, allowing for straightforward solving of the resulting equation.

While substitution, guess and check, and graphing are viable methods, elimination is particularly advantageous when aiming to simplify the system by removing one variable term, enhancing efficiency in solving linear equations.

User Jumble
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3 votes

Answer:

A.Substitution or D.Elimination

User SamProf
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