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
To eliminate a variable when adding the two equations, Tatum should first multiply the second equation by 2. This will make the coefficients of the y term in both equations the same, allowing for elimination by addition.
The system of equations becomes:
6x + 3y = 14
6x + 4y = 20
When these equations are added together, the 6x terms will cancel out, leaving:
7y = 34
Now Tatum can solve for y, and then substitute that back into one of the original equations to solve for x.