Solve the system using by the addition method

3x = 5y+9

6x = 6-4y

To use the addition method we will multiply the first equation with - 2

-6x = - 10y-18

6x = - 4y + 6 we will add them both and have

0 = - 14y - 12, - 14y-12=0, y = 12/14=6/7, y=6/7

now we solve for x

3x=5y+9

3 x=5 (6/7) + 9, 21x=30+63, x=93/21=31/7

y = 6/7, x=31/7