What is 4x 3y=19,6x-5y=-57?

4x+3y=19 and 6x-5y=-57

eliminate

multiply first equation by - 6 and 2nd by 4

and add them

-24x-18y=-114

24x-20y=-228 +

0x-38y=-342

-38y=-342

divide both sides by - 38

y=9

sub back

4x+3y=19

4x+3 (9) = 19

4x+27=19

minus 27 both sides

4x=-8

divide 4

x=-2

(x, y)

(-2,9)