Solution for 4x-7y=7 and 3x-9y=7

4x - 7y = 7

3x - 9y = 7

3 (4x - 7y = 7)

12x - 21y = 21

-4 (3x - 9y = 7)

-12x + 36y = - 28

12x - 21y = 21

-12x + 36y = - 28

15y = - 7

y = - 7/15

4x - 7 (-7/15) = 7

4x + 49/15 = 7

4x = 7 - 49/15

4x = 105/15 - 49/15

4x = 56/15

x = (56/15) / (4)

x = (56/15) * (1/4)

x = 56/60 or 14/15

So the solution is x = 14/15 and y = - 7/15 or (14/15, - 7/15)

Verify solution by plugging in x and y values and solving.