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 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 -2
The best way to begin solving the system by elimination is to multiply equation i by 2 and multiply equation ii by 3.
To solve the system by elimination, the best way to begin is to multiply equation i by 2 and multiply equation ii by 3. The correct response is:
i. Multiply equation i by 2 and multiply equation ii by 3
To solve the system of equations by elimination, the goal is to eliminate one variable by multiplying one or both of the equations so that the coefficients of one of the variables are equal in both equations.
Let's look at the given system of equations:
i. 2x + y = -3
ii. 3x - 2y = 2
To begin, we need to select one of the variables to eliminate. In this case, let's choose the variable "y".
The coefficients of "y" in the two equations are 1 and -2, respectively. To eliminate the variable "y", we need to make the coefficients equal in magnitude, but with opposite signs.
Multiplying equation i by 2 will result in the coefficient of "y" being 2, while multiplying equation ii by 3 will result in the coefficient of "y" being -6.
Hence, the best way to begin is to multiply equation i by 2 and equation ii by 3.
So, the correct answer is: Multiply equation i by 2 and multiply equation ii by 3.