Which of the following best summarizes the reason why we must write both equations in standard form (ax + by = c) and align like terms vertically before we can perform the elimination method?

Solve the system by elimination:

$\{\begin{array}{c}2x+5y=11\\ -2x+3y=1\end{array}$

Solve the system by selecting efficient multipliers: 4x − 9y = −5 and 7x + 9y = 44. Then, provide the solution as an ordered pair.

Use elimination to solve the system 5x + 2y = 13 and 8x − 7y = −6 by multiplying each equation by the other's x-coefficient. What is the final solution?

A student attempted to solve the system 5x − 2y = 13 and −10x + 4y = −26 by elimination and concluded there are infinitely many solutions. Examine their reasoning and determine whether their conclusion is valid. Show the algebra.