Tatum wants to solve the following system of equations by using 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
To eliminate a variable when adding the equations, you will want to multiply one or both of the equations by a number so that the coefficients of one of the variables match in both equations, so they cancel out when added together.
In this case, if you multiply the second equation by 2, the coefficients of y in both equations will become 6 and 4, respectively. When you add the equations together, the y variable will cancel out:
6x + 3y = 14
2(3x + 2y) = 2(10)
6x + 4y = 20
Now you can add the equations together:
(6x + 3y) + (6x + 4y) = 14 + 20
12x + 7y = 34
By multiplying the second equation by 2, Tatum can eliminate the y variable when adding the equations.