4x+5y=3

-7x-6y=-19

To eliminate x we must find the least common multiple of 4 and 7. What is it?

7 is prime so multiply them

4*7=28

answer is 28

anyway, multiply top by 7 and bottom by 4 to add to get

28x+35y=21

-28x-24y=-76 +

0x+11y=-55

11y=-55

divide by 11

y=-5

sub back

4x+5y=3

4x+5 (-5) = 3

4x-25=3

add 25

4x=28

divde 4

x=7

(7,-5)