Question

What is the first step in solving the system shown using the shown using the elimination method? (3x - 12y = 5 | 3y - x = 9 A. Multiply each term in 3y - x = 9 by 12. B. Multiply each term in 3y - x = 9 by -12. C. Rewrite the equations so like variable terms are in the same order. D. Add the corresponding sides of each equation.

Answer 1

Answer: OPTION C.

Step-by-step explanation:

Given a System of equations, you can use the Elimination Method to solve it by transforming the system in order to cancel out one of the variables. But first, the terms of both equations must be written in the same order.

To cancel out one of the variables, the coefficients must be opposites, which means that one must be positive and the other one must be negative.

Given the following  System of equations:

$\left \{ {{3x - 12y = 5} \atop {3y - x = 9} \right.$

You can notice that the order of the terms is not the same, so, if you want to use the Elimination Method to solve the system of equations,  the first step you must apply is to rewrite the equations so like variable terms are in the same order.

Then:

$\left \{ {{3x - 12y = 5} \atop {-x+3y = 9} \right.$

Answer 2

Answer:

C)

Step-by-step explanation: