Tatum wants to solve the following system of equations by using the elimination method. What integer should she multiply the second equation by to eliminate a variable when you add the equations?

6x+3y=14

3x+2y=10

(1 point)
Responses

−12
negative 1 half

−2
negative 2

2
2

6

3 not an answer buddy

I apologize for the error.

In order to eliminate a variable when adding the equations, we need to multiply the second equation by an integer that will make the coefficients of one of the variables the same in both equations but with opposite signs.

The coefficients of y in the two equations are already not the same. Therefore, we need to make them the same but with opposite signs. This can be achieved by multiplying the second equation by 3.

3 * (3x + 2y = 10)
gives
9x + 6y = 30

Now, when you add the two equations you have:

6x + 3y = 14
9x + 6y = 30
-------------------
15x + 9y = 44

By eliminating y, the integer that you should multiply the second equation by is 3.