To eliminate a variable when adding the equations, we need to multiply one of the equations by a number so that when we add it to the other equation, one of the variables will cancel out.
In this case, the variable y can be eliminated by multiplying the second equation by 3.
3(3x + 2y) = 3(10)
9x + 6y = 30
Now, when we add this equation to the first equation, the y variable will be eliminated:
6x + 3y + 9x + 6y = 14 + 30
15x + 9y = 44
Now Tatum can solve for x and y by continuing to use the elimination method.
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 answer