Julie is asked to solve the system below by elimination. Which of the following steps would be the best way to begin%3F i. 2x%2By%3D−3 ii. 3x−2y%3D2 (1 point) Responses Multiply equation i by 2 and multiply equation ii by 3 Multiply equation i by 2 and multiply equation ii by 3 Multiply equation ii by 2 Multiply equation ii by 2 Multiply equation i by 2 Multiply equation i by 2 Multiply equation ii by 2 and multiply equation i by -
The best way to begin solving the system by elimination would be to multiply equation i by 2 and multiply equation ii by 3.
To solve the system of equations by elimination, you want to eliminate one variable by multiplying the equations so that the coefficients of one variable are the same in both equations. This will allow you to eliminate that variable when you subtract or add the equations.
In this case, it would be best to multiply equation i by 2 and multiply equation ii by 3. So, the correct answer is:
i. Multiply equation i by 2 and multiply equation ii by 3
To solve the given system of equations by elimination, we want to manipulate the equations in a way that allows us to eliminate one variable when we add or subtract the equations.
In this case, there are different possible ways to begin the elimination process. Let's evaluate each option and determine the best choice.
i. Multiply equation i by 2 and multiply equation ii by 3:
This step is a good choice because it allows us to obtain coefficients of 6x for both x terms, which will eventually cancel each other out when we add the equations.
ii. Multiply equation ii by 2:
This step would only give us coefficients of 6x and -4y, which would not lead to easy elimination.
iii. Multiply equation i by 2:
This step could be a good choice since it results in coefficients of 4x and 2y, but it's not the most efficient choice because it won't allow us to eliminate the x terms easily.
iv. Multiply equation ii by 2:
This choice is similar to option iii and won't lead to easy elimination of x terms.
Therefore, the best way to begin the elimination process in this case is to multiply equation i by 2 and multiply equation ii by 3. This will give us coefficients of 6x for both x terms, allowing us to eliminate x when we add the equations.