Choose the correct multiplier that is needed to eliminate x in the system: 12x - 5y = 24 and 3x - 2y = 6 when using the factor/multiple strategy. Which equation should be multiplied, and by what scalar (making sure to including the sign), to make the x coefficients cancel-out?

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 by elimination: $3(x+2y)=21$ and $4x-5y=1$. 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.