answer the question correctly to continue:\nwhat is the first step to eliminate y in the system?\n{2x + 3y =…

answer the question correctly to continue:\nwhat is the first step to eliminate y in the system?\n{2x + 3y = 12\n{4x - 3y = 6\nmultiply both equations by 3\nsubtract the equations\ndivide both equations by 3\nadd the equations together

answer the question correctly to continue:\nwhat is the first step to eliminate y in the system?\n{2x + 3y = 12\n{4x - 3y = 6\nmultiply both equations by 3\nsubtract the equations\ndivide both equations by 3\nadd the equations together

Answer

Explanation:

Step1: Recall elimination method

In the elimination method for solving a system of equations ( \begin{cases}2x + 3y=12\4x-3y = 6\end{cases}), we look at the coefficients of (y). The coefficients of (y) are (3) and (- 3).

Step2: Analyze operation to eliminate (y)

If we add the two equations ((2x + 3y)+(4x-3y)=12 + 6), the (y) - terms (3y+(-3y)=0).

Answer:

Add the equations together