Question

Solve the system of equations. 6x - 3y = 3 -2r +y = 14 What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation? What number would you multiply the first equation by in order to eliminate the y-terms when adding to the second equation?​

Answer 1

9514 1404 393

Answer:

3

Explanation:

Assuming your two equations are ...

• 6x -3y = 3
• -2x +y = 14

You want to find the multiplier k such that ...

6 + (-2)k = 0 . . . . total x-coefficient after the equations are combined

Dividing by 2 gives ...

3 - k = 0

3 = k . . . . . . add k

The multiplier needed is 3.