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
6
+
3
=
14
3x+2y=10
Tatum should multiply the second equation by 2 in order to eliminate the variable y when adding the two equations.
6(6x+3y) = 6(14)
12(3x+2y) = 12(10)
This will result in:
36x + 18y = 84
36x + 24y = 120
Now, when she adds the two equations, the y variable will be eliminated:
36x + 18y + 36x + 24y = 84 + 120
72x + 42y = 204