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
A. -2
B. 2
C. -1/2
D. 6
To eliminate a variable when adding the two equations together, Tatum needs to multiply the second equation by a certain integer so that the coefficients of one of the variables in the two equations will be the same.
Looking at the coefficients of y in the two equations, Tatum should multiply the second equation by 3 in order to have the same coefficient for y in both equations. This will allow for the variable y to be eliminated when the equations are added together.
Therefore, the correct answer is B. 3.