Which is the most efficient method to solve this system of equations?

x = 5y + 2
x - 4y = 5

A. Substitution
B. Elimination
C. Graphing

1 answer

To solve the given system of equations:

  1. \( x = 5y + 2 \)
  2. \( x - 4y = 5 \)

Let's look at the three methods:

A. Substitution: This method is efficient since the first equation is already solved for \( x \). You can substitute \( x \) from the first equation into the second equation.

B. Elimination: This method can also be used, but it would require some rearrangement of the equations, which could be more cumbersome compared to substitution.

C. Graphing: While this method visually represents the solution, it’s generally less efficient for exact solutions compared to algebraic methods.

Given that one of the equations is already in the form suitable for substitution, substitution (A) is likely the most efficient method to solve this system of equations.

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