Julie is asked to solve the system below by elimination. Which of the following steps would be the best way to begin? i. 2x+y=−3 ii. 3x−2y=2 (1 point) Responses Multiply equation i by 2 and multiply equation ii by 3 Multiply equation ii by 2 Multiply equation i by 2 Multiply equation ii by 2 and multiply equation i by -2
The best way to begin the system by elimination is to multiply equation i by 2 and multiply equation ii by 3.
To solve the system of equations by elimination, the best way to begin would be to multiply equation i by 2 and multiply equation ii by 3.
To solve the system of equations using elimination, the goal is to eliminate one variable by manipulating the equations. Let's look at the given system of equations:
i. 2x + y = -3
ii. 3x - 2y = 2
We need to choose the best way to begin the elimination process. The objective is to choose a step that will result in the coefficients of one of the variables being the same or additive inverses in both equations.
Option i suggests multiplying equation i by 2 and equation ii by 3. This step can be a good starting point because it will make the coefficients of x in both equations the same (6x in equation i and 9x in equation ii).
Therefore, the correct answer is:
i. Multiply equation i by 2 and multiply equation ii by 3