What values of x and y satisfy - 13/3 x-2 y=7 and 3x+2/5 y=5 simultaneously?

Multpiply first equation by 3 and second by 5 to clear nasty faractions

-13x-6y=21

15x+2y=25

now see which ones we can clear

we can clear y

multiply second equation by 3 and add to the first equation

-13x-6y=21

45x+6y=75 +

32x+0y=96

32x=96

divide both sides by 32

x=3

sub back

15x+2y=25

15 (3) + 2y=25

45+2y=25

minus 45 from both sides

2y=-20

divide both sides by 2

y=-10

x=3

y=-10

(3,-10)