Question

Tatum wants to solve the following system of equations by using the elimination method what integers should she multiply the second equation by two eliminate variable when you add the equations 6x + 3y =14
3x + 2y =10

Answer 1

To eliminate the variable y, Tatum should multiply the second equation by 3. This will make the coefficients of y in both equations equal when added together.

Multiplying the second equation by 3 we get:

3(3x + 2y) = 3(10)
9x + 6y = 30

So the modified system of equations is now:

6x + 3y = 14
9x + 6y = 30

Now we can add the equations together to eliminate y:

6x + 3y + 9x + 6y = 14 + 30
15x + 9y = 44

Now we have eliminated y and the equation to solve for x is:

15x + 9y = 44

To simplify the equation further, we can divide by 3 to get:

5x + 3y = 14

Therefore, Tatum should multiply the second equation by 3 to eliminate the variable y.