6. Julie is asked to solve the system below by elimination. Which of the following steps
would be the best way to begin?
2x + y = -3 ?
3x - 2y = 2

A. Multiply O by 2 and multiply by 3
B. Multiply by 2
C. Multiply O by 2
D. Multiply by 2 and multiply O by -2

Respuesta :

Answer: A

Step-by-step explanation:

The best way to solve the system below by elimination is to multiply

2x + y = -3  by 2.

What is elimination method?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

Equations given

2x + y = -3 -------------------------- (1)

3x - 2y = 2 --------------------------(2)

Now, solving by applying elimination method

Case 1: solving for y , eliminate x

Multiplying equation (1) by 3 and equation (2 ) by 2

6x + 3y = -9

6x - 4y = 4  

now subtracting both we will get value of y then we can get x by substituting y in equation

Case 2:

solving for x , eliminating y

Multiply equation (1) by 2

4x + 2y = -6  ---------------------------- (3)

3x - 2y = 2 --------------------------(2)

now, adding both equation will give x value then we can get y by substituting x in equation

Hence, Multiply equation (1) by 2 will be best way .

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